I’ve felt burn out before and it’s a horrible feeling. The feeling of people needing/demanding your attention all the time gets exhausting. I wish it was more acceptable for moms to take a step back from their career or only work part time to allow proper time to care for children, family and balance their own health.
When I’m feeling burnout I try to take some time off. When I had a bad episode of burnout last year, I took 1 week off straight and stayed home with my kids, baked cookies with them, played outside, and enjoyed the day to day without feeling like I had to rush around; it was heaven.
You can use FMLA for mental health issues. I might suggest looking into that if you are needing time away and need to protect your job.