I had a similar experience to the OP, not with burnout per se, but with health issues. I spent 3.5 years in constant, excruciating pain. When I no longer cared whether I would live or die, I just wanted to hurt less, I stumbled across a path forward. It turns out that doing things that genuinely reduce your pain (after pain meds no longer work) tends to get at the root cause of the problem.
I was medically on "death row" anyway. This is not a thing you can recommend for people to just throw caution to the wind and wildly experiment. But, when you are 100 percent clear that this path is so broken that anything else is preferable (even literally death), it can be very freeing in terms of allowing you to make choices that were previously unthinkable.