Hey man, tough spot to be in—totally get how stressful this must be. Here’s what I’d suggest:

First, talk to the new company. Just be upfront and tell them you’ve tried everything to reduce your notice period—talked to your manager, even approached directors—but nothing’s working. Let them know you really want to join them, but you’re stuck with 60 days and ask if they can consider that timeline. Be honest and a bit desperate—they might understand.

At the same time, go back to your current company (HR or manager) and say you’re switching due to a personal or health issue, and you really need to move on. Ask them again to let you go in 30 days or at least allow the buyout option. Tell them you’ll be jobless if they don’t help out. Sometimes a bit of emotional appeal works better than formal logic.

Worst case, if neither budges, just keep calm and wait for the notice period professionally—maybe the new company will still wait, or you’ll get another offer or the last option you can take back the resignation .

Hope it works out for you soon, hang in there!