I did find out that apparently cold brew is included in the free refill program. So you can buy a Brewed coffee, spill it out, and then get a cold brew refill.
YMMV, as while officially refills should be allowed to go between hot and cold drinks, I have found that most baristas do not know this and will I sit that if you ordered a hot drink, your refill can only be hot, but they would be wrong.
I don't know if free refills work on award drinks. I have never tried.