Use `hyper` key in Gnome shortcuts

I am trying to use shortcuts in Gnome that involve the hyper-key. I can successfully add them as shown in the picture here:

My hyper key is remapped from caps lock via setxkbmap -option "caps:hyper".

Hyper works correctly in, e.g., Emacs. (When I push Caps-Lock-A, Emacs says H-a is undefined.)

But when I press Caps-Lock-A, the shortcut is not executed. (E.g., in the terminal, it simply inserts the letter a.)

How to support hyper in Gnome shortcuts? (Or short cuts involving caps lock in another way but not remapped to super because I want separate super and caps-lock shortcuts.)

I found a solution for my own problem with the Hyper key, maybe this solution works for you as well (If you are using Xorg. I guess the solution doesn't work with Wayland...):

First I mapped Caps to Hyper in the tweaks program:

But when I add a shortcut in Gnome Settings then the Shortcut was recognized as Super instead of Hyper. The problem seems to be that Super and Hyper is both mapped to mod4 in xmodmap:

$ xmodmap -pm
xmodmap:  up to 5 keys per modifier, (keycodes in parentheses):

shift       Shift_L (0x32),  Shift_R (0x3e)
lock      
control     Control_L (0x25),  Control_R (0x69)
mod1        Alt_L (0x40),  Meta_L (0xcd)
mod2        Num_Lock (0x4d)
mod3      
mod4        Hyper_L (0x42),  Super_L (0x85),  Super_R (0x86),  Super_L (0xce),  Hyper_L (0xcf)
mod5        ISO_Level3_Shift (0x5c),  Mode_switch (0xcb)

This command moves Hyper_L to mod3:

$ xmodmap -e "remove mod4 = Hyper_L" -e "add mod3 = Hyper_L"

Create $HOME/.config/autostart/xmodmap.desktop with the following content to run this xmodmap command on startup:

[Desktop Entry]
Name=Xmodmap
Exec=xmodmap -e "remove mod4 = Hyper_L" -e "add mod3 = Hyper_L"
Terminal=false
Type=Application

Now Hyper is correctly recognized in keyboard shortcut settings and the shortcuts are working fine.