IME long breaks do very little to help with burnout like this.
All you're doing is giving yourself a brief reprieve from an environment that drains your energy. You'll build up a bit of the energy over the break, but as soon as you come back you'll start getting drained again, possibly even worse than before because of the contrast of having to be back in that environment.
Breaks are important but if your environment is fundamentally draining you day after day, they're not going to move that needle.
