If it is a verification thing, they'll usually reach out within a few days. Depending on how close in your travel dates are, you might be able to wait things out. If the card starts showing online, you'll know you've been approved.

I can't speak for tracking the number of phone calls, but given the circumstances - upcoming stays at Hyatt were the reason you applied - I wouldn't worry too much about following up in a couple of days. Given the holiday weekend, I'd try calling again Tuesday.