Hi! These default screen protectors are always more or less just barely better transportation protection than actual daily use screen protectors. More or less meant as a convenient thing to give you at least some basic out of the box protection while you get yourself a decent one.
Try out tempered glass protectors, Nothing is offering their own glass protector for the NP2, which is of very high quality: Easy installation, great fitment, fairly repellent to fingerprints, works good with the fingerprint reader and doesn’t hinder the display quality.
Another option might be Spigen tempered glass protectors, the are also very easy to install, plus you get two protectors in the box. Unfortunately I noticed they tend to losen over time - something I haven’t experienced with the official glass by Nothing.