Retake SAT for essay?

I just got my SAT results back, and I’m debating whether or not to retake it in June.
I got 760 on reading/writing and 800 on math, for a total of 1560, which I’m definitely happy with.
My essay score, however, was dismal in comparison: 4 Reading, 4 Analysis, and 5 Writing, for a total of 13.
I was hoping for something a bit more competitive than that, at least a 6 in each section.
As background, my PSAT score was 1510, and my UW GPA is 3.97. I’m intending to go into a STEM field, not anything vaguely related to writing (currently favoring physics major). I’m a rising junior.
Should I retake the SAT and try to improve the essay, or is it not worth it?