Something I don't see talked about much is how do you get past the nauseating feeling of boosting a hot girls ego or validating her?

For example, the hot girl at my gym (gym approaches aren't intimidating to me, so forget the dont approach at the gym advice) is constantly put on a pedestal by those around her and everyone kisses her ass. She knows she's hot with the IG posts she makes and the 100+ comments she gets every post

I'd like to approach her because she's hot, but I also hate the idea of potentially fueling her validation machine even more.

I typically don't care about rejection, but with these girls that are clearly 8s and 9s, the idea of validating her with an approach and getting turned down makes me not want to approach. This is based on not wanting to become just another guy that just gave her free validation by showing some level of desire.

It feels like I'm contributing to the problem of girls having ego inflation these days more than anything

What's the mindset shift needed here?