On this page of the Disco Elysium game guide, you will find an accurate walkthrough description of the Pay for damages side task.
In the task Pay for damages in Disco Elysium, you need to pay Garte (cafe manager in Whirling-In-Rags) for damage caused to the hotel room. You're going to need as many as 130 Real to complete this task, and getting such a large amount of money within the first day isn't going to be that easy at all.
During gameplay, you can use various methods of earning cash, however, none of them will allow you to collect such a large sum of money. At 10 PM, Kim will want to talk to Harry and a text puff will be displayed on his character card. The cop will offer to help and say he owns Radiant spinners, an item that can be sold for cash to pay off the debt. Get over to Kim's car, search it and grab the valuable item.
After getting Radiant spinners, go to the Pawnshop and talk to the owner. Roy will pay for the item 200 Real, and Kim will hand you as many as 130 Real to cover the bill in the Whirling-In-Rags.
Time to return to the hotel and pay Garte for damages. During the conversation, you can choose one of the three available dialog options - you can choose the one that will appeal to you the most.