How important is a good AIME score for college admissions?

Some are on hs teams (eg, math team,) that go to regionals or better. Where will you apply? What major?

If it’s a holistic college, it’s not about better or more awards. No boost. It can be more important, if you’re a stem wannabe, to participate in collaborative math-sci ECs in the hs. Then, add some relevant outside experience. Along with non-stem ECs.