I only have something in the "Log Reports"
2022-12-01 23:44:45.420 BetterTouchProcessPrioWatcher[893:6182] launching
2022-12-01 23:44:45.424 BetterTouchProcessPrioWatcher[893:6182] did launch
2022-12-01 23:45:47.660 BetterTouchProcessPrioWatcher[893:6182] BTT did launch
2022-12-01 23:45:47.665 BetterTouchProcessPrioWatcher[893:6182] checking signature for bundle: file:///Applications/BetterTouchTool.app/
2022-12-01 23:45:48.618 BetterTouchProcessPrioWatcher[893:6182] signature looks good!
2022-12-01 23:45:48.618 BetterTouchProcessPrioWatcher[893:6182] did set BetterTouchTool priority to -2 | 0
2022-12-02 09:48:39.926 BetterTouchProcessPrioWatcher[589:4766] launching
2022-12-02 09:48:39.934 BetterTouchProcessPrioWatcher[589:4766] did launch
2022-12-02 09:49:26.292 BetterTouchProcessPrioWatcher[589:4766] BTT did launch
2022-12-02 09:49:26.300 BetterTouchProcessPrioWatcher[589:4766] checking signature for bundle: file:///Applications/BetterTouchTool.app/
2022-12-02 09:49:27.076 BetterTouchProcessPrioWatcher[589:4766] signature looks good!
2022-12-02 09:49:27.076 BetterTouchProcessPrioWatcher[589:4766] did set BetterTouchTool priority to -2 | 0
2022-12-02 14:29:03.708 BetterTouchProcessPrioWatcher[589:4766] BTT did launch
2022-12-02 14:29:03.709 BetterTouchProcessPrioWatcher[589:4766] checking signature for bundle: file:///Applications/BetterTouchTool.app/
2022-12-02 14:29:03.862 BetterTouchProcessPrioWatcher[589:4766] signature looks good!
2022-12-02 14:29:03.862 BetterTouchProcessPrioWatcher[589:4766] did set BetterTouchTool priority to -2 | 0
2022-12-02 15:01:03.789 BetterTouchProcessPrioWatcher[589:4766] BTT did launch
2022-12-02 15:01:03.790 BetterTouchProcessPrioWatcher[589:4766] checking signature for bundle: file:///Applications/BetterTouchTool.app/
2022-12-02 15:01:04.022 BetterTouchProcessPrioWatcher[589:4766] signature looks good!
2022-12-02 15:01:04.022 BetterTouchProcessPrioWatcher[589:4766] did set BetterTouchTool priority to -2 | 0
2022-12-02 15:01:07.502 BetterTouchProcessPrioWatcher[589:4766] BTT did restart
2022-12-02 15:01:16.971 BetterTouchProcessPrioWatcher[589:4766] BTT did launch
2022-12-02 15:01:16.972 BetterTouchProcessPrioWatcher[589:4766] checking signature for bundle: file:///Applications/BetterTouchTool.app/
2022-12-02 15:01:17.128 BetterTouchProcessPrioWatcher[589:4766] signature looks good!
2022-12-02 15:01:17.128 BetterTouchProcessPrioWatcher[589:4766] did set BetterTouchTool priority to -2 | 0
2022-12-02 15:04:57.451 BetterTouchProcessPrioWatcher[589:4731] launching
2022-12-02 15:04:57.462 BetterTouchProcessPrioWatcher[589:4731] did launch
2022-12-02 15:05:43.990 BetterTouchProcessPrioWatcher[589:4731] BTT did launch
2022-12-02 15:05:44.058 BetterTouchProcessPrioWatcher[589:4731] checking signature for bundle: file:///Applications/BetterTouchTool.app/
2022-12-02 15:05:44.792 BetterTouchProcessPrioWatcher[589:4731] signature looks good!
2022-12-02 15:05:44.792 BetterTouchProcessPrioWatcher[589:4731] did set BetterTouchTool priority to -2 | 0