Controlling computer without electronic groupset

Has anyone tried to pair AXS blips to a Garmin without any other AXS components?

I'm not interested in electronic shifting in the slightest, but I would love to be able to turn pages and ring the bell without taking my hands off the bars or eyes off the road. I haven't seen this particular use case discussed anywhere, but don't really want to make a 100€ investigation.

Looking at some instructions for the normal way of doing things, looks like I would just need them to talk to the app? Surely ant+ as a communication protocol would allow this?

Is there any other product i'm missing that might provide this functionality apart from the heinously ugly edge remote?

Thanks!