Add public API v1 with API key auth, rate limiting, and docs page

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

routes/api.php

@@ -0,0 +1,23 @@
+<?php
+
+use App\Http\Controllers\Api\V1\GameApiController;
+use App\Http\Controllers\Api\V1\MetaApiController;
+use App\Http\Controllers\Api\V1\UserApiController;
+use Illuminate\Support\Facades\Route;
+
+Route::prefix('api/v1')->middleware(['api.key', 'throttle:api'])->group(function () {
+    // Games
+    Route::get('/games',              [GameApiController::class, 'index']);
+    Route::get('/games/search',       [GameApiController::class, 'search']);
+    Route::get('/games/top-rated',    [GameApiController::class, 'topRated']);
+    Route::get('/games/new-releases', [GameApiController::class, 'newReleases']);
+    Route::get('/games/{game:slug}',  [GameApiController::class, 'show']);
+
+    // Meta
+    Route::get('/genres',    [MetaApiController::class, 'genres']);
+    Route::get('/platforms', [MetaApiController::class, 'platforms']);
+
+    // Users (public profiles)
+    Route::get('/users/{user:slug}',         [UserApiController::class, 'show']);
+    Route::get('/users/{user:slug}/library', [UserApiController::class, 'library']);
+});