Lots of stuff about 2nd gear syncros. Use the proper Porsche fluid... it’s not cheap, but it really is the best (nearly only) option. There is a 2nd gear detent “fix” available, but it’s mostly a bandaid, I’ve done it and so far it’s been great. Not hard to do, but kind of a pain in the arse...
https://www.pelicanparts.com/techarticles/Porsche-996-997-Carrera/TRANS-Installing_996_Shift_Detent_Pin/TRANS-Installing_996_Shift_Detent_Pin.htm