Your embouchure on saxophone should get to the point where you don’t think about it. That’s true of most of what you do on the saxophone. You develop your playing so that it becomes automatic.
If you do notice problems, like pain, you should be aware and adjust.
I’m a beginner alto saxophone player started by a band at my high school.
I was trying to see some tips on how to keep your embouchure correct to prevent burning and swelling.
That doesn’t sound too good!
Maybe start by trying to relax
You shouldn’t be hurting yourself