Honestly whilst the docs make the review process sound complicated, I went through it a few months ago and it ended up being super simple. Just follow the instructions to create the new formulae PR (and look at other recent ones) and then you’re all done. Updates are handled by a bot they run automatically when you make a new GitHub release, so you don’t even need to interact with the homebrew repo after setup.

You do have a naming conflict though unfortunately so I’m not sure how you would deal with that.