I took about 10 oz of the caramel and melted it with half a gallon of boiling water.

I boiled it for 10 minutes with 1/2 tsp of yeast nutrient.

I cooled it in an ice bath, gave it a good shake and pitched a big slug of thick brett slurry.

The OG was 1.028. If the Brett can handle it I would expect to see signs of activity in the next few days.
Update #1 - After 24 hours there is definitely some fermentation going on, when I give it a swirl foam forms and I can hear CO2 escaping. However it in not going that quickly, we will see this make take quite a while to get as low as it is going to.
Update #2 - After 4 days the Brett has flocculated out and the gravity has dropped to 1.014. The resulting liquid is actually not bad, sort of has a Flanders Oud Bruin thing going on. It'll be awhile before I throw in the towel, but I can safely say that Brett C can attenuate that caramel more than regular brewers yeast.

As an aside I think after 2 pure Brett fermentations this yeast is learning to behave itself, look at that flocculation. Makes you wonder how “normal” this wild yeast would get after a few more generations. Sadly the pack of Wyeast Brett anomalus (a special order gotten by my local homebrew store) is next on my list to experiment with.
Update #4 After 40 days the caramel is still at 1.014. I'm moving tomorrow so the experiment ends here. Resulting liquid isn't bad I may try adding some of the caramel to a Brett beer down the line for some residual sweetness and body.