you could add the script after the "copyToClipboard()" call.
Moving the window via the standard actions doesn't work because floating menus in general exclude themselves from macOS Accessibility (this is important for menus that don't behave like normal windows). However maybe I can change this for the "floating menu with titlebar" usecase.
//edit, 5.265 should not exclude menus from Accessibility if they have a standard titlebar