A special workspace is what is called a “scratchpad” in some other places. A workspace that you can toggle on/off on any monitor.
Since GNOME definitely doesn't support workspaces per monitor (and I haven't seen an extension that does), I don't think this is possible.
I'm struggling to think of what you'd even use that for
If you put a chat on your scratchpad, you can toggle the chat floating on top of all other windows and then put it away. I'll maybe put up a demo later
From the Hyprland wiki:
Since GNOME definitely doesn't support workspaces per monitor (and I haven't seen an extension that does), I don't think this is possible.
I'm struggling to think of what you'd even use that for
If you put a chat on your scratchpad, you can toggle the chat floating on top of all other windows and then put it away. I'll maybe put up a demo later
The closest thing I can think of is quake mode. https://extensions.gnome.org/extension/1411/quake-mode/
I don't think it's updated for the lastest version of gnome