You charge your phone every night without guilt. Why do you feel guilty recharging yourself?

Nobody argues with a device for needing power, because the need is understood as part of how it works rather than as a character flaw. Rest got filed differently for people, as something you earn by first being exhausted enough to justify it. Running low is not evidence about your discipline.

Put rest in the day before you have run out rather than after, and give it the status you give a meeting. Take an hour that is genuinely yours, protected, with nothing to show for it. Then ask whether the guilt is yours or something you picked up from someone who was also tired.