Congratulations! Yours looks to be in excellent condition These are solid watches and with their sizing and heft make them very relevant today too. The PVD was taken off mine in the 90’s during a service. The finish was damaged and so Tag Heuer recommended removal of the PVD and promptly did……patina was not a thing back then ♂️
It's not actually PVD though the use of the term today seems to cover all black coated watches. It's not absolutely clear (to me anyway) exactly what type of black coating is used. However, It's generally considered that the base steel is anodised and not coated with PVD. Physical Vapor Deposition (PVD) is a method of applying a coating and is not the coating itself. I don't believe it is possible to "re-PVD".