feat: organize project conversations and add coding teacher side chat

src/lib/ai-modules.ts

@@ -66,6 +66,7 @@ const moduleAccessKeyById: Record<AiModuleId, ModuleAccessKey> = {
 };
 
 const PROGRAMMING_ROUTE_PREFIXES = [
+  '/coding-teacher-preview',
   '/plugins',
   '/plugin-marketplace',
   '/my-plugins',