Posted Today, 04:56
If 3H is GF, partner s 3S is at least mildly encouraging, so we can bid 4S, no H control, and let partner take over as we really did convey we were interested (3S from opener does not automatically launch cue bids).
fear HA, H ruf or HAK cashing on the opening lead. Leaving a last chance open is cool but dangerous when we have not ascertained the control of H.
If 3H was inv+, and 3S a reject of the invite, we have made more than enough noise already and it is about time to close the auction.