BB Cold 4-Bet vs HJ Open + BTN 3-Bet

HJ opens, BTN 3-bets, and the action is on you in BB. Cold 4-bet or fold? Many hands you would 3-bet against a single open have to fold here.

Action flow: UTG · Fold → HJ · Open → CO · Fold → BTN · 3-Bet → SB · Fold → BB · You Act

Solver strategy in this spot

Hands with a percentage are mixed; anything not listed folds (or never reaches this spot).

Cold-4-BetAA, KK, QQ, JJ 11%, 88 22%, 77 18%, 66 6%, AKs, AQs 31%, KQs, AKo