Sadly, the Hilbert Hotel is slated for demolition which is why it’s on Sisyphus’ path. After that whole “everyone moves to double their room number” debacle, Hilbert had to process a fraction of the infinite guests’ refunds because they didn’t feel like changing rooms to one several million hallways down. And a percentage of infinite guests refunds is still infinite, so Hilbert is in infinite debt now.

Theseus, meanwhile, has been trying to justify buying a new ship for ages but his crew is adamant about right to repair, so he’s looking for an easy exit.