Bluetooth mouse keeps disconnecting (and doesn’t reconnect automatically)

I have a third party Bluetooth mouse that keeps disconnecting after 5/10 minutes, then when a pair it again it registers it as a new device (so now I have 10 of the same mouses in the Bluetooth menu). 

I also have a third party Bluetooth keyboard that doesn’t have this issue, but it’s not the mouse either (since I checked with another Mac and it just works and reconnects regularly there). 

This issue started with upgrading to Sonoma 14.2.1. 

So far I tried unpairing, rebooting, deleting .plist files, resetting Bluetooth using terminal but nothing works. Is there anything else I can try?