Rules for antennas are in art 810
Coax is 820.
Simply put, for the antenna, put a ground rod at the base of it, bond to the mast, then run a bonding conductor to the Intersystem bond. Min is 10 copper, I would use a 6 AWG. Read thru the rules in 810.21. If you can't hit the intersystem bond, then use a split bolt and go the GEC. If you don't make this bonding connection, you won't have a single point ground and run a huge risk of equipment damage from lighting
For the coax, install a listed lightning protector at the building entrance , bond it to your bonding conductor.
The antenna man has good info here
https://www.antennamanpa.com/index.html
Mike Holt just sent out a newsletter with PDF on Art 810 and 820. Here is a link to his video.
I have done in the past some 50+ antennas for telemetry, it took me a while to work thru the rules but in the process I made and had accepted a code change to Art 810 (810 didn't reference art 250 for the connection of the GEC to the ground rod, meaning it could of been made with a hose clamp)
Most antenna installs are done incorrectly. The HAM radio folks are the worst.