Vercel ai gateway (#7)

* feat: use vercel ai gateway

* chore: update UI

app/api/shortcut/route.ts

@@ -3,16 +3,35 @@ import { ShortcutsHandler } from '@utils/handler';
 import { RequestSchema } from '@utils/types';
 
 export async function POST(req: Request) {
+  const requestId = Math.random().toString(36).substring(7);
+  const startTime = Date.now();
+
+  console.info(
+    `[${requestId}] Incoming request at ${new Date().toISOString()}`
+  );
+
   try {
     const body = await req.json();
+    console.info(`[${requestId}] Request body:`, {
+      command: body.command,
+      hasParameters: !!body.parameters,
+      parametersCount: body.parameters
+        ? Object.keys(body.parameters).length
+        : 0,
+      hasApiKey: !!body.apiKey
+    });
 
     const result = RequestSchema.safeParse(body);
     if (!result.success) {
+      console.warn(
+        `[${requestId}] Invalid request format:`,
+        result.error.issues
+      );
       return NextResponse.json(
         {
           success: false,
           message: 'Invalid request format.',
-          errors: result.error.errors
+          errors: result.error.issues
         },
         { status: 400 }
       );
@@ -22,6 +41,9 @@ export async function POST(req: Request) {
     const isValid = shortcutsHandler.validateRequest(result.data);
 
     if (!isValid) {
+      console.warn(
+        `[${requestId}] Unauthorized request for command: ${result.data.command}`
+      );
       return NextResponse.json(
         {
           success: false,
@@ -31,14 +53,25 @@ export async function POST(req: Request) {
       );
     }
 
+    console.info(`[${requestId}] Processing command: ${result.data.command}`);
     const response = await shortcutsHandler.processCommand(
       result.data.command,
       result.data.parameters
     );
 
+    const duration = Date.now() - startTime;
+    console.info(`[${requestId}] Request completed in ${duration}ms`, {
+      success: response.success,
+      hasData: !!response.data
+    });
+
     return NextResponse.json(response);
   } catch (error) {
-    console.error('Error processing shortcuts request:', error);
+    const duration = Date.now() - startTime;
+    console.error(
+      `[${requestId}] Error processing request after ${duration}ms:`,
+      error
+    );
     return NextResponse.json(
       {
         success: false,