I didn’t test out your combo, but I did take your team into the lab. Unfortunately, I can’t find a consistent way to put Ammy’s Cold Star into a BnB (since it’s not HSD immune). The extensions with the Firebrand assist seem to be the go-to BnBs whenever possible. However, I’ll give you the most consistent combo extension that I could find that uses Cold Star. It seems hard to make damaging jamming bomb combos with this team, but I’m sure there is probably an easy, short combo with Cold Star. There could be some solid cube combos too… maybe even midscreen with Cold Star. I might look into that later.
Starter, air series, relaunch, air series, cr.M and call Cold Star (right next to opponent), L cube, st.S, super jump ub, addb, f+H, L bomb, f+H, jump, adf, j.S (air combo ender), cr.M and call Firebrand, L blaster, f+H, jump, adf, j.S, L bomb, f+H, M blaster, hyper