I am encountering a problem with the file open dialog in the floating web view. When I try to open a file, the folders in the sidebar appear grayed out and I cannot select them. This prevents me from accessing the files.
They could even be the same issue - something seems to steal focus from BTT. This would also explain your Finder issue with the context menu. Maybe some action configured in BTT that is executed when the focused window changes? Do you maybe have any such triggers in "Automations, Named & Other Triggers" in BTT?
Maybe go to Help => Export Diagnostic Debug Information and send the result to andreas@folivora.ai, then I could try with your exact setup. I think something is somehow interfering