you go to immigration, pay your visa, get your passport stamped, and then when you exit, you need to go to Starbucks and next to it is the hotel booking office.

They pick you up 3 hours before departure - so it will look like this
Get off plane thru customs to hotel desk to hotel - 1 hour+
In actual hotel - <4 hours.

For $60, I'd honestly stay in the lounge and use the sleeping rest room for 3 hours.