Sure. ElecGear Replacement Internal Cooling Fan for PS4 Pro CUH-7xxx - CPU Heatsink Cooler, Arctic MX-2 Thermal Compound Paste, TR8 Torx Security, PH0 Screwdriver Repair Tool Kit for PlayStation 4 Pro https://www.amazon.com/dp/B075R3W8V7/ref=cm_sw_r_cp_tai_S4NwDbXYQA4F0
Stamped Nidec on the metal housing and the notches around the back matched photos I’ve seen of Nidecs. Brand new.
Sounds like the fan is off balance or there is a wire/something protruding close to the fan blades.
If it is an off balance fan, you can go through motions of trying to re-balance it (not sure how you would go about it), clean it further as someone else said and hope that it balances out, or you could replace it.
For example, you can get the ElecGear Fan replacement for PS4 Pro - which apparently uses Nidec assuming you live in the States. If not, check with Amazon in your country - they should have it.
I mean there's no specific console paste, it's high performance thermal paste for PC's which it's basically what it is. I used This One And I replaced the fan with This Onebut later found out it was the same one without the noise issue as the delta but I swapped it anyway since it was new and I wasn't going to return it. And for the thermal pads I used This OneIt made my Pro so much better, faster and smoother and sooo quiet.