>>21537523
It's about the material, not the price.
The issue is that stainless steel is a shit conductor of heat. This isn't an issue if you have a liquid like water in it (which is why a cheap stainless pot is fine) but for a pan it'll develop severe hot spots.
So what you're looking for is cladding; a layer of stainless on the outside for resilience and a layer of a heat conducting material inbetween, see picrel.
The cheap but decent option is aluminium. The expensive option is copper. The pans I'd advise against are simply those that don't have any layer inside and are just stainless.
I got a used (and returned) stainless steel 28cm aluminium clad frying pan from AmazonCommercial (their commercial branch) years ago, and it's great, but again, it's not about the brand, it's about the technology used. The pan I used costs 46€ new, 27€ used (very good condition), if I were on a budget I'd get the used one, you can clean stainless easily and "very good" on amazon as condition basically means someone once opened the package, not that it's actually been cooked with.
So no need to go as high as you're saying, sub 100€ is enough. Just pay attention to it being cladded right and having a handle that looks sturdy.