JetBlue Airways review: Misinformation provided

Booking # GURXKR. My flight into JFK was delayed, I had an international connection which I missed. I was rebooked on another flight 24 hours later (the only flight to that airport) by a JetBlue representative in the airport; I was told I would be eligible for a refund for a hotel stay of up to $250 (which I had to find, book, and get myself to and from), just call 1 800 Jet Blue. When I returned to home (USA) 15 days later, I was sick. I was able to call 10/27/23, first spoke with "Lenox" who told me to call Aer Lingus as they made the reservation. Aer Lingus told me to call JetBlue as it was their responsibility. Called again, spoke to "EXEL" who told me he was sending a form via email for me to complete. Did not get it. Called again on 10/31/23 (3 times now) and was not told, I am "ineligible for a reimbursement" as it would have had to be requested "ten days from time expense was incurred." Nobody conveyed there was a time limit when JetBlue rebooked my flight. I was also still overseas on a trip at the 10-day cutoff I was never told about. This cost me $400 extra (because hotels in NY are expensive and I have to eat) and I missed a day of an event that had been planned for 2 years. I only want back the $250 I was initially told I was eligible to receive. Can you just do the right thing and please reimburse me?