How to update Gitea to the latest version?

Gitea is updated frequently, https://github.com/go-gitea/gitea/tags
What is the process to update the version deployed on Fly?

Does having the `latest` version define in `fly.toml` enough? (I think yes)
https://github.com/dwyl/gitea-server/blob/9e33ad7756634b506813b6b3d35331e386cfae3f/fly.toml#L6-L7

How do we check the Gitea version on Fly to see if a deploy has updated the version?

- [ ] Update Readme to explain that Gitea version is updated automatically when running `flyctl deploy` as the Docker image get the `latest` Gitea` image version
- [ ] "We should investigate adding a "watcher" for the tag version on https://github.com/go-gitea/gitea/tags to trigger an update. Someone must have solved this problem already ... maybe we can use @dependabot" see https://github.com/dwyl/gitea-server/issues/6#issuecomment-1138311820

I'm currently experience slow query time when I push to a repository and was wondering if a new version of Gitea could fix that or if I need to investigate other paths