I confirmed with a licensed electrician that what I did with the GFCI is correct. There are two outdoor outlets on this circuit, so both are required to be GFCI. The other outlet is not in use, so it's essentially a dedicated circuit as stated.
I've read the earlier postings with this issue and the manual states that the EVSE should be on a GFCI.
While I appreciate the responses, I was really looking for feedback if anyone has had this problem and solved it. It seems like the current suggestion is to switch this outdoor outlet to a non-GFCI outlet, which is against code.