@jcoglan have a tag named ignore_me and attach the SQLite database to it as release asset. Download at the beginning if it exists and at the end of the action delete + recreate the release with the updated version /shrug
Can be done entirely with first-party tooling that ships in Actions (https://cli.github.com)
I do the latter half of that at work to have a fixed "latest" tag that contains the binary built from tip-of-tree every day.