Signing Git Commits with SSH Key doesn't work with SSH Agent on Windows

[QuAzI]

I am trying to use Signing Git Commits with SSH Key
So, I have a working SSH with the ssh-ed25519 key and I've made a few settings

git config --global commit.gpgsign true
git config --global gpg.format ssh
git config --global user.signingkey "ssh-ed25519 <public key id>"

All works fine on WSL, but not on Windows

> git commit --allow-empty --message="Testing SSH from Win"
error: Couldn't get agent socket?

fatal: failed to write commit object

OpenSSH client works with SSH Agent on Windows and on WSL. All keys are present in the agent
WSL just requires a small hack with socat in ~/.bashrc

SSH_AUTH_SOCK=$HOME/.ssh/wsl-ssh-agent.sock
if [ ! -S "$SSH_AUTH_SOCK" ]
then
  export SSH_AUTH_SOCK
  /usr/bin/socat UNIX-LISTEN:"$SSH_AUTH_SOCK",fork EXEC:"$(which npiperelay.exe) -ei -s //./pipe/openssh-ssh-agent",nofork 2>&1 &
fi

But I don't understand what I have to tweak for Git Bash while git can use SSH Agent to pull my commits from private repo