App Icon Opens at Random Intervals / Doesn't Hide on Startup

I recently needed to wipe my Mac and ever since I've reinstalled BTT, the app will open (i.e. the icon will pop up in the dock) at random intervals. It also doesn't "hide" on startup as it used to, even though that option is ticked in System Prefs. I've tried alternating the startup commands in both BTT and Sys Prefs to no avail. It does open on startup, so that's something. My guess is that something is overriding Mac OS's "hide" command, but I've no idea what. Also not sure what's causing the app to spontaneously launch (or at least for the icon to appear in the dock), but I've used BTT for years and never encountered this issue. This has only been a problem since the reinstall.

MacBook Pro (16-inch, 2019)
2.4 GHz 8-Core Intel Core i9
64 GB 2667 MHz DDR4
AMD Radeon RX Vega 64 8 GB (eGPU)
MacOS Monterey 12.5 (21G72)
BTT 3.834