Stuck pixel (iphone 13 pro)

I just bought my iPhone 13 pro a couple weeks back, now n closer inspection I spot a very tiny stuck pixel (I guess cause its lit and doesn't change color) It's visible only when I pay very very close attention to it, I called up apple service, and they've told me to bring it in and it would be a possible display repair or something, which to be honest I'd rather want a complete replacement of another brand new iPhone, Is a complete replacement possible? if so would the replacement I phone be brand new and not one of those refurbished ones, also If they insist on a display repair is the service clean and would my device feel as it was before? they also said that a factory data reset can also fix the stuck pixel..what do you guys suggest? or should I wait a bit and see if the stuck pixel fixes itself?