Using Flow, my mouse moves between computers correctly, but the keyboard often does not register as having connected (even though it has) and gets into a state where Logi Options+ does not think it is connected to either computer. At that point, the mouse can move to the other computer, but the keyboard stays stuck on the same computer until I manually change the computer it is connected to (and then it repeats the failure the next time I move the mouse to the other computer).

My setup:

Logi Options 9.40.75
Logi Options+ 0.70.7969
MX Anywhere 3B 15.0.10
MX Keys Mini for Mac 74.0.4
MacBook Pro (16-inch, 2019) 10.15.7 (19H1519) using Bolt
Mac mini (M1, 2020) 12.0.1 (21A559) using Bluetooth