feat(ecommerce): tiles promocionales intercalados en el grid del catalogo

ADR 0005 seccion 3 (patron Walmart), ultimo item de la sub-fase de
componentes visuales: "grid de catalogo con tiles promocionales
intercalados, no solo tarjetas de producto homogeneas".

`category-tiles.tsx` ya era ese mismo primitivo visual (usado en el
home) -- se extrajo el tile individual a un componente exportado
`PromoTile` (mismo look, sin cambio visual en el home) para
reutilizarlo en `catalog-client.tsx`: un tile cada
PROMO_TILE_INTERVAL=8 productos, ciclando por las categorias raiz
(excluye la raiz que el usuario ya esta viendo via el breadcrumb de
#40). Si no hay jerarquia de categorias disponible, la grilla queda
igual que antes (solo productos) -- degradacion sin romper nada.

Depende de #40 (breadcrumb + categoryNodes en CatalogClient) -- mismo
archivo, se apila sobre esa rama en vez de main.

workloads/ecommerce/app/catalog/page.tsx

@@ -41,6 +41,7 @@ export default async function CatalogPage({ searchParams }: CatalogPageProps) {
     <CatalogClient
       key={`${category}:${collection}:${query}`}
       products={products}
+      categories={categories}
       categoryGroups={categoryGroups}
       initialCategory={category}
       initialCollection={collection}

workloads/ecommerce/components/catalog/catalog-client.tsx

@@ -1,22 +1,70 @@
 "use client";
 
-import { SlidersHorizontal, X } from "lucide-react";
+import Link from "next/link";
+import { ChevronRight, SlidersHorizontal, X } from "lucide-react";
 import { useEffect, useMemo, useState } from "react";
+import { PromoTile } from "@/components/home/category-tiles";
 import { ProductCard } from "@/components/product/product-card";
 import { Button } from "@/components/ui/button";
 import { Input } from "@/components/ui/input";
-import type { Product } from "@/lib/headless/types";
+import type { Category, Product } from "@/lib/headless/types";
+
+// Cada cuantas tarjetas de producto se intercala un tile promocional en
+// la grilla (patron Walmart, ADR 0005 seccion 3): grid con tiles
+// promocionales intercalados, no solo tarjetas homogeneas.
+const PROMO_TILE_INTERVAL = 8;
+
+type GridItem = { type: "product"; product: Product } | { type: "promo"; category: Category };
 
 type CatalogClientProps = {
   products: Product[];
+  categories?: Category[];
   categoryGroups?: Record<string, string[]>;
   initialCategory?: string;
   initialCollection?: string;
   initialQuery?: string;
 };
 
+function matchesQuery(product: Product, query: string): boolean {
+  if (!query) return true;
+  const search = [product.name, product.category, product.collection, product.brand].join(" ").toLowerCase();
+  return search.includes(query.toLowerCase());
+}
+function matchesCategory(product: Product, allowedCategories: string[]): boolean {
+  return allowedCategories.includes(product.category);
+}
+function matchesCollection(product: Product, collection: string): boolean {
+  return !collection || product.collection === collection;
+}
+function matchesBrand(product: Product, brand: string): boolean {
+  return brand === "Todas" || product.brand === brand;
+}
+function matchesAge(product: Product, age: string): boolean {
+  return age === "Todas" || product.ageRange === age;
+}
+function matchesPrice(product: Product, maxPrice: number): boolean {
+  return product.price === null || maxPrice === 0 || product.price <= maxPrice;
+}
+
+// Camina parentId hacia arriba desde la categoria seleccionada para armar
+// el breadcrumb real (Inicio > raiz > hija), igual que en Amazon.
+function buildBreadcrumb(categories: Category[], name: string): Category[] {
+  const node = categories.find((category) => category.name === name);
+  if (!node) return [];
+  const trail = [node];
+  let current = node;
+  while (current.parentId) {
+    const parent = categories.find((category) => category.id === current.parentId);
+    if (!parent) break;
+    trail.unshift(parent);
+    current = parent;
+  }
+  return trail;
+}
+
 export function CatalogClient({
   products,
+  categories: categoryNodes = [],
   categoryGroups = {},
   initialCategory = "Todos",
   initialCollection = "",
@@ -55,29 +103,25 @@ export function CatalogClient({
   // tiene la raiz asignada directamente. Si no es una raiz conocida, se
   // trata como el nombre de categoria exacto de siempre.
   const allowedCategories = categoryGroups[category] ?? [category];
+  const breadcrumb = useMemo(() => (category === "Todos" ? [] : buildBreadcrumb(categoryNodes, category)), [categoryNodes, category]);
+  // No promociona la misma categoria raiz que el usuario ya esta viendo.
+  const promoRoots = useMemo(() => {
+    const excludeRootId = breadcrumb[0]?.id;
+    return categoryNodes.filter((node) => !node.parentId && node.id !== excludeRootId);
+  }, [categoryNodes, breadcrumb]);
 
   const filtered = useMemo(
     () =>
       products
-        .filter((product) => {
-          const search = [
-            product.name,
-            product.category,
-            product.collection,
-            product.brand,
-          ]
-            .join(" ")
-            .toLowerCase();
-
-          return (
-            (!query || search.includes(query.toLowerCase())) &&
-            (category === "Todos" || allowedCategories.includes(product.category)) &&
-            (!collection || product.collection === collection) &&
-            (brand === "Todas" || product.brand === brand) &&
-            (age === "Todas" || product.ageRange === age) &&
-            (product.price === null || maxPrice === 0 || product.price <= maxPrice)
-          );
-        })
+        .filter(
+          (product) =>
+            matchesQuery(product, query) &&
+            (category === "Todos" || matchesCategory(product, allowedCategories)) &&
+            matchesCollection(product, collection) &&
+            matchesBrand(product, brand) &&
+            matchesAge(product, age) &&
+            matchesPrice(product, maxPrice),
+        )
         .sort((a, b) =>
           sort === "name"
             ? a.name.localeCompare(b.name, "es")
@@ -88,6 +132,77 @@ export function CatalogClient({
     [age, allowedCategories, brand, category, collection, maxPrice, products, query, sort],
   );
 
+  // Intercala un tile promocional cada PROMO_TILE_INTERVAL productos,
+  // ciclando por las categorias raiz -- si no hay jerarquia de
+  // categorias disponible, la grilla queda igual que antes (solo
+  // productos).
+  const gridItems = useMemo<GridItem[]>(() => {
+    if (promoRoots.length === 0) return filtered.map((product) => ({ type: "product", product }));
+
+    const items: GridItem[] = [];
+    let promoIndex = 0;
+    filtered.forEach((product, index) => {
+      items.push({ type: "product", product });
+      const isLast = index === filtered.length - 1;
+      if (!isLast && (index + 1) % PROMO_TILE_INTERVAL === 0) {
+        items.push({ type: "promo", category: promoRoots[promoIndex % promoRoots.length] });
+        promoIndex += 1;
+      }
+    });
+    return items;
+  }, [filtered, promoRoots]);
+
+  // Conteos por valor de filtro (patron Amazon: "Marca (12)"), calculados
+  // sobre los productos que ya pasan el resto de filtros activos -- cada
+  // dimension se cuenta excluyendose a si misma para reflejar cuantos
+  // resultados habria si se eligiera ese valor.
+  const categoryCounts = useMemo(() => {
+    const base = products.filter(
+      (product) => matchesQuery(product, query) && matchesCollection(product, collection) && matchesBrand(product, brand) && matchesAge(product, age) && matchesPrice(product, maxPrice),
+    );
+    const counts: Record<string, number> = { Todos: base.length };
+    for (const name of categories) {
+      if (name === "Todos") continue;
+      const allowed = categoryGroups[name] ?? [name];
+      counts[name] = base.filter((product) => matchesCategory(product, allowed)).length;
+    }
+    return counts;
+  }, [age, brand, categories, categoryGroups, collection, maxPrice, products, query]);
+
+  const brandCounts = useMemo(() => {
+    const base = products.filter(
+      (product) =>
+        matchesQuery(product, query) &&
+        (category === "Todos" || matchesCategory(product, allowedCategories)) &&
+        matchesCollection(product, collection) &&
+        matchesAge(product, age) &&
+        matchesPrice(product, maxPrice),
+    );
+    const counts: Record<string, number> = { Todas: base.length };
+    for (const value of brands) {
+      if (value === "Todas") continue;
+      counts[value] = base.filter((product) => product.brand === value).length;
+    }
+    return counts;
+  }, [age, allowedCategories, brands, category, collection, maxPrice, products, query]);
+
+  const ageCounts = useMemo(() => {
+    const base = products.filter(
+      (product) =>
+        matchesQuery(product, query) &&
+        (category === "Todos" || matchesCategory(product, allowedCategories)) &&
+        matchesCollection(product, collection) &&
+        matchesBrand(product, brand) &&
+        matchesPrice(product, maxPrice),
+    );
+    const counts: Record<string, number> = { Todas: base.length };
+    for (const value of ages) {
+      if (value === "Todas") continue;
+      counts[value] = base.filter((product) => product.ageRange === value).length;
+    }
+    return counts;
+  }, [ages, allowedCategories, brand, category, collection, maxPrice, products, query]);
+
   const reset = () => {
     setQuery("");
     setCategory("Todos");
@@ -101,6 +216,27 @@ export function CatalogClient({
   return (
     <div className="mx-auto max-w-7xl px-4 py-10">
       <div className="mb-8">
+        {breadcrumb.length > 0 && (
+          <nav aria-label="Breadcrumb" className="mb-4 flex flex-wrap items-center gap-1.5 text-xs font-bold text-slate-500">
+            <Link href="/catalog" prefetch={false} className="hover:text-fuchsia-600">
+              Inicio
+            </Link>
+            {breadcrumb.map((node, index) => (
+              <span key={node.id} className="flex items-center gap-1.5">
+                <ChevronRight className="size-3" />
+                {index === breadcrumb.length - 1 ? (
+                  <span aria-current="page" className="text-slate-900">
+                    {node.name}
+                  </span>
+                ) : (
+                  <Link href={`/catalog?category=${encodeURIComponent(node.name)}`} prefetch={false} className="hover:text-fuchsia-600">
+                    {node.name}
+                  </Link>
+                )}
+              </span>
+            ))}
+          </nav>
+        )}
         <span className="text-xs font-black uppercase tracking-[.18em] text-fuchsia-600">
           Catálogo completo
         </span>
@@ -134,9 +270,10 @@ export function CatalogClient({
             values={categories}
             selected={category}
             onChange={setCategory}
+            counts={categoryCounts}
           />
-          <Filter title="Marca" values={brands} selected={brand} onChange={setBrand} />
-          <Filter title="Edad" values={ages} selected={age} onChange={setAge} />
+          <Filter title="Marca" values={brands} selected={brand} onChange={setBrand} counts={brandCounts} />
+          <Filter title="Edad" values={ages} selected={age} onChange={setAge} counts={ageCounts} />
 
           <fieldset>
             <legend className="mb-3 text-sm font-black">Precio máximo</legend>
@@ -180,9 +317,13 @@ export function CatalogClient({
 
           {filtered.length ? (
             <div className="grid gap-5 sm:grid-cols-2 xl:grid-cols-3">
-              {filtered.map((product) => (
-                <ProductCard key={product.id} product={product} />
-              ))}
+              {gridItems.map((item, index) =>
+                item.type === "product" ? (
+                  <ProductCard key={item.product.id} product={item.product} />
+                ) : (
+                  <PromoTile key={`promo-${index}`} category={item.category} className="min-h-[22rem]" />
+                ),
+              )}
             </div>
           ) : (
             <div className="grid min-h-80 place-items-center rounded-3xl border border-dashed border-slate-300 text-center">
@@ -205,11 +346,13 @@ function Filter({
   values,
   selected,
   onChange,
+  counts,
 }: {
   title: string;
   values: string[];
   selected: string;
   onChange: (value: string) => void;
+  counts?: Record<string, number>;
 }) {
   return (
     <fieldset>
@@ -227,6 +370,7 @@ function Filter({
             }`}
           >
             {value}
+            {counts && <span className="ml-1 opacity-60">({counts[value] ?? 0})</span>}
           </button>
         ))}
       </div>

workloads/ecommerce/components/home/category-tiles.tsx

@@ -2,6 +2,7 @@ import Image from "next/image";
 import Link from "next/link";
 import { ArrowUpRight } from "lucide-react";
 import type { Category } from "@/lib/headless/types";
+import { cn } from "@/lib/utils";
 
 type TileContent = { subtitle: string; image?: string; color: string };
 
@@ -20,6 +21,37 @@ const tileContent: Record<string, TileContent> = {
 
 const defaultTile: TileContent = { subtitle: "Explora esta categoría", color: "from-slate-400 to-slate-600" };
 
+// Tile individual reutilizado tanto por la seccion de mundos del home
+// como por el grid del catalogo (tiles promocionales intercalados,
+// ADR 0005 seccion 3, patron Walmart) -- mismo primitivo visual, no un
+// componente nuevo.
+export function PromoTile({ category, className = "" }: { category: Category; className?: string }) {
+  const content = tileContent[category.handle] ?? defaultTile;
+
+  return (
+    <Link
+      href={`/catalog?category=${encodeURIComponent(category.name)}`}
+      className={cn(`group relative min-h-64 overflow-hidden rounded-[2rem] bg-gradient-to-br ${content.color} shadow-xl`, className)}
+    >
+      {content.image && (
+        <>
+          <Image src={content.image} alt={category.name} fill sizes="(max-width: 640px) 100vw, (max-width: 1024px) 33vw, 16vw" className="object-cover transition duration-500 group-hover:scale-105" />
+          <div className="absolute inset-0 bg-gradient-to-t from-slate-950/80 via-transparent to-white/5" />
+        </>
+      )}
+      <div className="absolute inset-x-0 bottom-0 flex items-end justify-between p-6 text-white">
+        <div>
+          <h3 className="text-xl font-black">{category.name}</h3>
+          <p className="mt-1 text-sm font-semibold text-white/80">{content.subtitle}</p>
+        </div>
+        <span className="grid size-11 shrink-0 place-items-center rounded-full bg-white text-slate-950 transition group-hover:rotate-45">
+          <ArrowUpRight />
+        </span>
+      </div>
+    </Link>
+  );
+}
+
 export function CategoryTiles({ categories }: { categories: Category[] }) {
   const roots = categories.filter((category) => !category.parentId);
 
@@ -35,33 +67,9 @@ export function CategoryTiles({ categories }: { categories: Category[] }) {
         <Link href="/catalog" className="hidden font-black text-cyan-700 sm:block">Ver todo →</Link>
       </div>
       <div className="grid gap-5 sm:grid-cols-2 lg:grid-cols-3 xl:grid-cols-6">
-        {roots.map((category) => {
-          const content = tileContent[category.handle] ?? defaultTile;
-
-          return (
-            <Link
-              key={category.id}
-              href={`/catalog?category=${encodeURIComponent(category.name)}`}
-              className={`group relative min-h-64 overflow-hidden rounded-[2rem] bg-gradient-to-br ${content.color} shadow-xl`}
-            >
-              {content.image && (
-                <>
-                  <Image src={content.image} alt={category.name} fill sizes="(max-width: 640px) 100vw, (max-width: 1024px) 33vw, 16vw" className="object-cover transition duration-500 group-hover:scale-105" />
-                  <div className="absolute inset-0 bg-gradient-to-t from-slate-950/80 via-transparent to-white/5" />
-                </>
-              )}
-              <div className="absolute inset-x-0 bottom-0 flex items-end justify-between p-6 text-white">
-                <div>
-                  <h3 className="text-xl font-black">{category.name}</h3>
-                  <p className="mt-1 text-sm font-semibold text-white/80">{content.subtitle}</p>
-                </div>
-                <span className="grid size-11 shrink-0 place-items-center rounded-full bg-white text-slate-950 transition group-hover:rotate-45">
-                  <ArrowUpRight />
-                </span>
-              </div>
-            </Link>
-          );
-        })}
+        {roots.map((category) => (
+          <PromoTile key={category.id} category={category} />
+        ))}
       </div>
     </section>
   );