All my keyboard shortcuts stopped working and window snapping doesn't work either. Trackpad shortcuts do work. Tried upgrading to alpha, and resetted accessibility before and after the update to no avail.
EDIT: it's solved now, but I'm still wondering what caused it (see comment)
BTT version: 3.781 / 3.782 (alpha)
macOS version: 12.3
Machine: Intel 2020 MacBook Air, i3, 8GB