ci: end-to-end CI testing (#1)

* do end-to-end testing

* set node version

* build then start

* remove test restrictions

* panic if mime type fails

* use timeout

Taskfile.yml

@@ -33,7 +33,8 @@ tasks:
 
   test:integration:
     cmds:
-      - cd backend && go run ./app/api/ &
+      - cd backend && go build ./app/api
+      - backend/api &
       - sleep 5
       - cd frontend && pnpm run test:ci
     silent: true