Any recs for a cool lip liner for mauve-ish brown lips + medium/medium-tan clear neutral-to-cool olive skin?

I've searched the archives and most related posts are by fair or muted olives. I'm trying to adapt the Nina Park method like everyone else and am looking for a cool-toned, naturalistic pencil to blend out along the lip line. My usual lip colors lean deep cool burgundy/magenta...Laka Glam Tint 123 + Pat McGrath Full Blooded in the center. TIA for any advice/recommendations!