Or send it back with markup. A lot of companies will wipe off stuff at that point because the manager wants to make the hire. This is the point where you have the most leverage in making the deal.

It's also important to stay unemotional, e.g., treat it at the same level as what your office chair looks like. You just want them to agree, not start wondering if you are a good fit.

I personally dislike non-competes but the point is to get it removed, not make some big statement. (Unless your goal is to make a statement, not get the job under desirable conditions.)