Logitech M705 mouse lagging when BTT is open

Describe the bug
I have BTT set up for window snapping and keyboard shortcuts, but nothing else. I use the Logi Options software to configure my mouse. This used to work great, but recently my mouse has started lagging terribly (both in cursor tracking and button registering) to the point where it's unusable. Is there a way to prevent BTT from intercepting the mouse without it interfering with window snapping and keyboard shortcuts?

Affected input device (e.g. MacBook Trackpad, Magic Mouse/Trackpad, Touch Bar, etc.):
Logitech M705 mouse

Device information:

  • Type of Mac: MacBook Pro (16-inch, 2019)
  • macOS version: 10.15.7 Catalina
  • BetterTouchTool version: 3.505