How to run Doom in daemon mode with a non-standard config?

As pointed out in a related question, my installation of Doom is customized so I can also run vanilla Emacs:

$ echo $DOOMDIR
/home/me/.config/doom

$ echo $EMACSDIR
/home/me/.doom

# Vanilla Emacs conf in ~/.config/emacs

With this config I can launch emacs (and run vanilla Emacs) or doom run (and run Doom).

The problem I can’t figure out is how to run Doom Emacs and run it as a daemon, so that I can connect to it with emacsclient.

This would allow me to also use the script org-capture that Doom provides

Currently: After I launch doom run if I launch emacsclient it start emacs --daemon but then opens vanilla Emacs.

Any suggestion? Thanks