Cannot use F1 or WIN + F1 as shortcuts

[lcouso]

I'm unable to use F1 or WIN + F1 as shortcuts to switch to a specific virtual desktop.

I want to use the following shortcuts to switch to the virtual desktop :

1. WIN + F1
2. WIN + F2
3. WIN + F3
4. WIN + F4

The first shortcut is the only one that cannot be set.
When trying with only the F1 key, the key gets detected (I can see it get written in the shortcut component) but is immediately removed.

The combinations CTRL + F1 or ALT + F1 do work.

Important clarification
Outside of an active application, the F1 key is bound to the "help & support" feature that would usually launch Edge and do a bing search.
The F1 key is usually registered by the system (explorer.exe ?) early on and is, usually, hard for applications to rebind it.

However, I've successfully used the combination WIN + F1 within an AuthohoKey script in the past (I was using the now defunct Windows 10 Virtual Desktop Enhancer ).
I've actually disabled the "help & support" feature through the registry with the help of this : How do I disable the F1 “Help” key on Windows 10?
The F1 key should now be usable, but I did not confirm if that registry modification effectively removes the registration done by the system.

Question
Is it possible to :

1. Allow the usage of the WIN + F1 combination ?
2. Override / supersede the registration done by the system (so the registry modification is not required) ?