What helped me un-burn myself was focusing on creating as many serendipitously boring moments as possible.
I canceled all pre-made plans, stopped pursuing any goal outside of existing, and did things because I was bored and felt like doing them.
Our culture is 110% fail-forward, goal-oriented, growth-mindset madness that doesn't give us time to relax and chill out.
I'm not talking about pursuing a hedonistic lifestyle nor walking into the woods and being a hermit.
Get a dumb job, go to work, go home, do whatever. Meet with friends if you want too, go out if you want too, but stop all forms of external pressure and just exist.
I remember eventually I was sitting around with nothing to do and spent an hour dreaming about dragons and then went for a walk around the block because I got tired of sitting.
Avoid anti-stagnation gamification bs that only exists to make money like meditation apps or fitness trackers. Just be.
As you said, people are going to tell you to sign up for a "prescription" like traveling more or exercising but that is just more of a burden to an already burned out person.
Travel or exercise if you want but do it because you want too not because it's on some path to a better you.