chore: update dependencies and add AWS Amplify packages

- Added aws-amplify and related packages to dependencies.
- Updated TypeScript and added tsx to devDependencies.
- Modified gallery page to log the availability of the YouTube API key.

.claude/settings.local.json

@@ -0,0 +1,9 @@
+{
+  "permissions": {
+    "allow": [
+      "Bash(find:*)",
+      "Bash(ls:*)"
+    ],
+    "deny": []
+  }
+}