New window created from fullscreen doesn't get focus

Steps to reproduce

1. Run MacVim fullscreen
2. Hit cmd-N to create a new window (this is created as a fullscreen 'space')
3. Type something
4. Notice that what was typed ended up on the first fullscreen window (now not visible), not the new one that should have focus

Expected behaviour

The newly created window (fullscreen) should get focus.

Version of Vim and architecture

8.2, x86_64, patches: 1-3455

Environment

macOS 12.3.1

How MacVim was installed

Homebrew (I think...)

Logs and stack traces

No response

Vim configuration where issue is reproducable

No response

Issue has been tested with given configuration

• by running MacVim.app from GUI macOS interface
• by running vim/gvim/etc installed by MacVim
• by running other versions of vim (e.g. /usr/bin/vim)

Issue has been tested with no configuration

• by running mvim --clean (or gvim, supplied by MacVim distribution)
• by running vim --clean (in terminal, supplied by MacVim distribution)
• by running vim --clean (in terminal, other suppliers, e.g. /usr/bin/vim)

Other conditions

• The both Homebrew packages "vim" and "macvim" are installed

Reproduce the issue with MacVim.app on macOS 12.3.1 by entering fullscreen mode and using cmd-N, then inspect the fullscreen window-creation and focus path. It is done when typing after creating a new fullscreen window goes to that new window rather than the first hidden fullscreen window.