feat(server): add show_on_tv product flag and public /tv products API

Co-authored-by: Cursor <cursoragent@cursor.com>

database/migrations/2026_08_18_000001_add_show_on_tv_to_products_table.php

@@ -0,0 +1,43 @@
+<?php
+
+use Illuminate\Database\Migrations\Migration;
+use Illuminate\Database\Schema\Blueprint;
+use Illuminate\Support\Facades\DB;
+use Illuminate\Support\Facades\Schema;
+
+return new class extends Migration
+{
+    public function up(): void
+    {
+        if (!Schema::hasTable('products')) {
+            return;
+        }
+
+        if (!Schema::hasColumn('products', 'show_on_tv')) {
+            Schema::table('products', function (Blueprint $table) {
+                if (Schema::hasColumn('products', 'show_in_assets')) {
+                    $table->boolean('show_on_tv')->default(false)->after('show_in_assets');
+                } elseif (Schema::hasColumn('products', 'show')) {
+                    $table->boolean('show_on_tv')->default(false)->after('show');
+                } else {
+                    $table->boolean('show_on_tv')->default(false);
+                }
+            });
+        } else {
+            DB::statement(
+                'ALTER TABLE `products` MODIFY COLUMN `show_on_tv` TINYINT(1) NOT NULL DEFAULT 0'
+            );
+        }
+    }
+
+    public function down(): void
+    {
+        if (!Schema::hasTable('products') || !Schema::hasColumn('products', 'show_on_tv')) {
+            return;
+        }
+
+        Schema::table('products', function (Blueprint $table) {
+            $table->dropColumn('show_on_tv');
+        });
+    }
+};