As per release notes I should be able to upgrade the minor patch of the database, which by default is 8.0.26 in newly fresh instances:
May 26, 2022
Cloud SQL for MySQL now supports minor version 8.0.29. To upgrade your existing instance to the new version, see Upgrade the database minor version.
I triggered a minor patch upgrade using GCP CLI for MySQL. The command output is successful but the database patch didn't change. Used the following command:
$ gcloud sql instances patch mysqldb
The following message will be used for the patch API method.
{"name": "mysqldb", "project": "myproject", "settings": {}}
Patching Cloud SQL instance...done.
Updated [https://sqladmin.googleapis.com/sql/v1beta4/projects/myproject/instances/mysqldb].
It didn't upgrade, so I restarted the MySQL instance, and even after that the version remained 8.0.26.


