Is it recommended to take SAT w/o Essay for the second SAT if I am satisfied with my first score?

Hi everyone! I have a question that I can’t seem to find the answer anywhere else. I am planning to retake the SAT soon to improve my SAT scores, but I am already satisfied with my essay score on my last SAT. If I were to retake the SAT for a better score, do I have to take the essay portion again? Do you think colleges like Brown or Rice University will mind if I take the SAT without essay for the second SAT testing because I already have a good score for the essay?

why don’t you email Brown and Rice? too often I saw posts asking whether they should send the previous test because the score was too low.