Sounds about the same for the Lucky Horseshoe club in Chicago. At least back when lap dances were allowed. I see people getting ripped off all the time. My suggestion is to pretend not to know the rules and ask him. That way he’s clear about the policy. If you happen to get him in the middle of a music then find out of he charges for that. Some consider that as the first music even if it’s practically at the end. Others will throw it in as a bonus and then charge for the next three or how many music you wanted him to dance for you. Otherwise, be sure to catch him at the very start of the next puece of music.
Not sure if that’s what happened to you but it’s a very gray area. It’s like deciding when does your time with an escort begin? As he walk in the door? Or as you start fooling around?