Guys, brake fluid doesn't eat the internals of... the brake system. You know that bladder that sits underneath the reservoir cap? That's rubber. I'm going to suggest that the tire is probably ok. However, I can't guarantee it. Have you washed the spot really well with dish soap or other strong detergent? Then you can look to see if there is any discoloration. Maybe you can take it out and run it easy for a little while and then check it again.
Call the tire manufacturer. They should know what chemicals the compounds are sensitive to.