I enabled the dock icon preference and relaunched. The app is slightly broken in this mode:

• When launched, its icon appears in the Dock but no window opens, and the previously open app remains active (with its menu bar showing.)
• Clicking the Dock icon causes the window to open and its menu bar to appear. The window works, but the menu bar doesn't: clicks in it do nothing. Very weird.
• After clicking on a different app's window and then in Brisk's window, the menu bar is now enabled.

I've seen issues like this in the past and they usually result from something wrong in the Info.plist.