So your solution is to have another Mac or partition with High Sierra to do the reset?🫤I booted up an old iMac running HighSierra paired and reset my MagicMouse using factory reset all connected Apple devices via Click Bluetooth Shift Option in Menubar.
Suddenly the mouse is recognized without any issues and works like charm.
Hope this helps.
Would be great to have the possibility to reset directly in Sonoma or by third party app.