Add captcha image generation functionality.

app/Http/Controllers/Api/V1/CaptchaController.php

@@ -0,0 +1,24 @@
+<?php declare(strict_types=1);
+
+namespace App\Http\Controllers\Api\V1;
+
+use App\Http\Resources\Api\V1\Captcha;
+use App\Services\Api\V1\CaptchaService;
+use Illuminate\Http\JsonResponse;
+
+final class CaptchaController extends Controller
+{
+    public function __construct(
+        private readonly CaptchaService $captchaService
+    ) { }
+
+    public function getCaptcha(): JsonResponse
+    {
+        $result = $this->captchaService->generate();
+        if (!$result->isSuccess()) {
+            return response()->json($result->getData())->setStatusCode($result->getCode());
+        }
+
+        return response()->json(new Captcha($result));
+    }
+}

app/Http/Controllers/Api/V1/Controller.php

@@ -0,0 +1,12 @@
+<?php declare(strict_types=1);
+
+namespace App\Http\Controllers\Api\V1;
+
+use Illuminate\Foundation\Auth\Access\AuthorizesRequests;
+use Illuminate\Foundation\Validation\ValidatesRequests;
+use Illuminate\Routing\Controller as BaseController;
+
+class Controller extends BaseController
+{
+    use AuthorizesRequests, ValidatesRequests;
+}