To retake the ACT or not is the question?

Senior has taken ACT twice already. Last score was 32 (E 34,M 34, S,35 and R 24) Very happy with subscores except for Reading. Hoping to bring that up somewhat at the same time maintain the other scores. SAT score was 1470.
Would like to apply to some reaches like Notre Dame specifically that may look more favorable on a higher ACT score. I’ve already sent my previous 2 sittings to them( 1st sitting was 29) Should I send them the 3rd sitting while registering for the ACT or wait and see if it’s better? I know they don’t superscore the ACT.