Fix Amplify environment variable configuration

- Add amplify.yml for proper build configuration
- Update next.config.ts to expose YOUTUBE_API_KEY env var
- This should fix the issue with secrets not being available in production

🤖 Generated with [Claude Code](https://claude.ai/code)

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

.claude/settings.local.json

@@ -1,9 +1,9 @@
-{
-  "permissions": {
-    "allow": [
-      "Bash(find:*)",
-      "Bash(ls:*)"
-    ],
-    "deny": []
-  }
+{
+  "permissions": {
+    "allow": [
+      "Bash(find:*)",
+      "Bash(ls:*)"
+    ],
+    "deny": []
+  }
 }