Xte/xdotool Super button doesn't work on Gnome 40

After update [Stable Update] 2021-07-13 - Kernels, Plasma 5.22, Cinnamon 5, Gnome 40, LibreOffice, Mesa, Nvidia, Pamac:

After switching to gnome 40, I have an issue with mouse side buttons.
I was using xbindkeys with xte to bind a mouse button to ‘Show the activities overview’ with Super+R (previously set this as keyboard shortcut)

The command that used to work was
xte 'keydown Super_L' 'key R' 'keyup Super_L'

The strange thing is that in Telegram it just types ‘r’, in browser it works like ‘back’ and ‘forward’ (which is by default), in other apps it does nothing. Gnome shortcut Super+R still works fine.

Problem comes with xte and xdotool - with new gnome they stopped simulating ‘Super’ button

I’ve been testing xbindkeys with xte and xdotool - both work fine with bindings:

"xdotool key Control+n"
   release + b:8

and

"xte 'keydown Control_L' 'key n' 'keyup Control_L'"
   release + b:8

both open new window in Firefox, so combination Ctrl+n works fine.

The issue comes with ‘Super’ button, which stopped working since Gnome 40.
I’ve tried in xte both ‘Super_L’ and ‘Meta_L’ and none of them function. Neither works xdotool with ‘key super’.