fix: write response for cloud login before server shutdown #12014

Job	Run time
CLI Integration Tests	4m 58s
CLI Integration Tests	4m 58s
Integration Tests (api/sqlite)	6m 28s
Integration Tests (api/sqlite)	6m 28s
UI Integration Tests	5m 53s
UI Integration Tests	5m 53s
Integration Tests (api/libsql)	6m 37s
Integration Tests (api/libsql)	6m 37s
Integration Tests (api/postgres)	7m 11s
Integration Tests (api/postgres)	7m 11s
Integration Tests (api/mysql)	7m 59s
Integration Tests (api/mysql)	7m 59s
Integration Tests (api/cockroach)	7m 13s
Integration Tests (api/cockroach)	7m 13s
Integration Tests (api/cache)	6m 4s
Integration Tests (api/cache)	6m 4s
Integration Tests (api/cachetls)	7m 3s
Integration Tests (api/cachetls)	7m 3s
Integration Tests (fs/git)	7m 21s
Integration Tests (fs/git)	7m 21s
Integration Tests (fs/local)	6m 51s
Integration Tests (fs/local)	6m 51s
Integration Tests (fs/s3)	8m 33s
Integration Tests (fs/s3)	8m 33s
Integration Tests (fs/oci)	6m 58s
Integration Tests (fs/oci)	6m 58s
Integration Tests (fs/azblob)	8m 22s
Integration Tests (fs/azblob)	8m 22s
Integration Tests (fs/gcs)	8m 32s
Integration Tests (fs/gcs)	8m 32s
Integration Tests (import/export)	8m 48s
Integration Tests (import/export)	9m 33s
	3h 50m 27s

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