I bought these, but don't have my phone yet. In the customer questions, the support was asked if these will work with the fingerprint scanner. Short answer is yes, so I'll let y'all know what I find.
I've been using this one, it's application was fairly easy, I botched the 1st one not noticing there was a sticky line in the middle to help you keep it aligned. I usually prefer tempered glass but this one's been a great plastic one.
So far it's worked with every case I've had, ghostek, a few Spigen case's, and the dbrand grip case.
Edit: fixed the hyper link
I just bought a TPU. Registered my thumb two times and the fingerprint reader is lightning fast [TPU]
(http://IMBZBK Designed for Google Pixel 6 Pro 5G Screen Protector [Not Glass Protector], 3 Pack HD Flexible TPU Film with 2 Pack Glass Camera Lens Protector, Case Friendly, Bubble Free, Easy Installation https://www.amazon.com/dp/B09FHPCW5S/ref=cm_sw_r_apan_glt_fabc_FP725Z60FESCPY832DQF?_encoding=UTF8&psc=1)