Don’t buy refurbished, buy a regular ass used laptop and skip paying for someone else to wipe the computer for you. You’re not paying for an OS when you buy used/refurbished. They’re just using the license key that’s already stored in the bios.
Also the P1/X1E and the X1 carbon are completely different classes of machines. The T14s is a much closer fit to an X1 than the thin portable workstation that’s the P1. Good luck finding a P1 with no GPU because that’s 90% the point of this laptop.