Why do you say the Purge doesn't work .
What version of Windows are you running ( full number version )
and Tiles version in your account ?
Because i've got a bunch of RegSv432 windows saying "The module C:\Program Files\Stardock\Object Desktop\Tiles\Tiles.dll" failed to load. Make sure the binary is stored at the specified path or debug it to check for problems with the binary or dependent .DLL files. The specified module could not be found". It is not in this directory, and it was installed with default options (i never specified where i wanted to install it). The stardock folder is in Program Files (x86), not in Program FIles. But i guess it didn't meant that it failed to uninstall... i've let it go and it removed the panel.
I'm using Microsoft Windows [Version 10.0.19042.746] (Windows 10 Pro).
I haven't tried without Groupy. But WIndows doesn't let met drag a window if i was holding SHIFT at the beginning.
It's hard to say which Tiles version i have. All files in the folder seems to be from 2014 to 2017. If i right-click on dll's and check at Details tab, it show version 22.214.171.124. I assumed that it was version 2.0 Beta since the email sent from Stardock says:
JUST FOR YOU: Try the new Tiles 2.0 beta before anyone else!
I've clicked the Download link in the email, but there's a part i've read too quickly. To download the beta version, you got to click on the gear, show settings, then check "Show Beta Downloads".
I'll reboot and reinstall to see if it make any difference.