Pull-up on rings — fuller range than a fixed bar (hands rotate freely), shoulder-friendly, and the direct strength carryover to the Muscle-Up (Rings). You already log 8–12 of these.
Pull-up reference
Cues
Full hang, pull the rings to the chest, let the grip rotate naturally. Practice the false grip here to bridge toward the muscle-up.
Programming
4 × 5–8 (add weight when bodyweight gets easy). Alternate with Weighted Chin-Up.