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

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

app/Models/ApiKey.php

@@ -0,0 +1,25 @@
+<?php
+
+namespace App\Models;
+
+use Illuminate\Database\Eloquent\Model;
+use Illuminate\Database\Eloquent\Relations\BelongsTo;
+
+class ApiKey extends Model
+{
+    protected $fillable = ['user_id', 'name', 'key'];
+
+    public function user(): BelongsTo
+    {
+        return $this->belongsTo(User::class);
+    }
+
+    public static function generate(User $user, string $name): self
+    {
+        return self::create([
+            'user_id' => $user->id,
+            'name'    => $name,
+            'key'     => bin2hex(random_bytes(32)),
+        ]);
+    }
+}

app/Models/User.php

@@ -19,6 +19,7 @@ class User extends Authenticatable
     public function library(): HasMany { return $this->hasMany(UserGame::class); }
     public function reviews(): HasMany { return $this->hasMany(Review::class); }
     public function lists(): HasMany { return $this->hasMany(UserList::class); }
+    public function apiKeys(): HasMany { return $this->hasMany(\App\Models\ApiKey::class); }
     public function activities(): HasMany { return $this->hasMany(Activity::class)->latest(); }
     public function notifications(): HasMany { return $this->hasMany(Notification::class)->latest('created_at'); }