Fake Windows to think my Bluetooth keyboard is a wired keyboard

In my work-from-home scenario, I use a Bluetooth Keyboard and Citrix desktop to connect to our corporate infrastructure. Since the last update from our corporate IT, the Citrix client has App Protection enabled and because I use a Bluetooth keyboard, Citrix' anti-keylogging feature kicks in and letters are scrambled every second or so in the Citrix session. Similar to description found here. Is there some way to trick Windows to report my Bluetooth keyboard as an USB keyboard? I don't want to replace my lovely Logitech keyboard.

Question by user1052080 on Super User, licensed CC BY-SA. We show a short excerpt and link to the original thread as credit.