You're right
Update on my progress. So far I've been through 2 popo patterns and nearly finished with a 3rd (that's 90 tries

). The only pink I that came out of that is pink/gray (close to black), pink/blue and pink/yellow (I think this looks best). If you like either of those or want me to keep trying, let me know.
Taking way longer than I thought. In light of this, I changed the 10% to 15%.
Update! Went through another sewing scroll. I finally got what you asked for, but it's more purple-ish than pink with the black sleeves. Cost is 575g. I am in-game as Gold at the inn next to Nora. Meet me there or send a message if you want it.