The short answer
You cannot recover inside the fire. The move is not to try harder to rest — it is to carve out one small piece of your day that the demands cannot touch. Even a tiny patch of protected ground changes what is possible. Start there, not with full recovery.
You keep trying to recover, but the demands have not let up. Research on how burnout works tells us that when the load stays high and the resources stay low, the gap just keeps widening. Trying to refill while the drain is still open is not a strategy problem — it is a structural one. The fire is real. Your read of the situation is correct.
Marcus Aurelius noticed something useful here. He did not say the mischance was not real. He said that what matters is whether you can continue — without being crushed by what is present or afraid of what is coming. That is not a call to tough it out. It is a call to find the one thing still in your hands, even inside a bad situation. Not the whole fire. Just the next step that is yours to take.
This week, find one 20-minute block each day that you protect from demands — no email, no tasks, no output. Guard it like a meeting you cannot cancel. It will not fix the structural problem, but it gives you a small piece of ground that is yours. From that ground, you can start to see your options more clearly. If the pressure feels unmanageable or is affecting your health, talking to a doctor or counselor is a real and worthwhile step too.