Mr.Cooper Mortgage Escrow Error

Im dealing with an issue with our Mortgage Company, Mr. Cooper (with Rocket Mortgage). They overpaid our school taxes by nearly $3k for 2025 which caused our escrow account to go into the negative. They have admitted the error and our tax office is sending the refund check back to the lender.

The issue is that it’s expected to take 6-12 weeks and Mr. Cooper has adjusted my mortgage +$1000 due to the escrow being negative. They said they can adjust it down once the refund comes in but that still throws off our budget for the next 2-3 months.

Has anyone dealt with this before? Am I required to pay the shortfall of their admitted mistake? Any insight would be so helpful!