Just w.r.t having time to think harder, have you considered getting a hobby that forces you to go offline and do something repetitive so your mind can wander?

Just w.r.t having time to think harder, have you considered getting a hobby that forces you to go offline and do something repetitive so your mind can wander? I do this with walks (phone left at home) and sometimes swimming laps. Physical exercise may not seem appealing if you're in burnout territory, but I think it's worth trying because for me at least it's a different, mostly orthogonal, kind of fatigue.