Reading Bluetooth game controller key stroke with a bluetooth module

Hello, i had an idea today but none of my research gat me a lead to if it is feasable or not.

i have a bluetooth game Controller that i want to pair to an arduino pro micro with a bluetooth module set to master.

if i can do that, i would simply like to read the data from the receiver and transform that to keyboard key to the pc connected with USB (that last part i know how to do that and thats why i choose the arduino pro micro).

i found online a way to connect 2 HC-05 bluetooth module in master slave configuration but absolutly no info on how to connect something like a Bluetooth keyboard to a master HC-05.

thank for your help and tips in advance !

If the only thing you want to do is using joystick as keyboard/mouse there are program available for that.
A quick google search brings up this JoyToKey - Download the Latest Official Version

Pretty sure I did something like that years ago with my wired joystick. I don't remember what program I used tho.

i want to first see if this part of the project is doable.
in the long run, my goal is to connect my xbox elite controller (that can now tonnect to a bluetooth receiver) to an arduino and convert all of the controller input into an original Xbox compatible input.

i was inspire by ogx360 but it does not seam to simply support Bluetooth controller