UPDATE:
Well this weekend I put the relay and the third brake light worked fine. But after looking at the wire from the third brake light, I found that the wire had a little exposed part of the cooper material
in the part between the camper shell and the tail door, so, now I understand why the third brake light shorted and blew the #13 fuse in the dash.
Now, my question is: do I let the relay there (with more connections, with the possibilty to fail)? or I reconnect the third brake light wire to the wire I found that comes on with the brake (only one direct connection)?