I mean isn't he suppose to be undercover?

I think it's solved by the theory that "James Bond" is also a codename, hence why he's been here since the 60's, hasn't aged and looks radically different in each iteration.

Plot Twist: His name isn't James Bond

The writer described the name as the most normal and common name, which is why he chose it

Archer

When you are such a secret secret agent that you can tell your name to people without repercussions