Current game is a Dating Sim the same way a Clicker game is an RPG. You chose girl, add hidden points to her by doing actions to her, go sleep, chose her again, rinse repeat, until she has enough points that "going to the brothel" has unlocked all the naughty options.
If you look for game play, currently there is none. This is a h scene viewer with different girls. While there is nothing wrong with that, I do not consider this a game.
(And I think the MC gets tricked. They do not really teleport girls from other universes that coincidentally want to work in "a brothel" for one day for one customer. I think they use advanced VR or Android tech to simulate the experience.)