Turns out it was just the rubber layer I was looking at..no third layer.I heated the whole thing up with the bumble bee salmon can stove and tapped on the bottom of the cup..eventually it popped out.Pried on the rubber until it finally came out.I bent a small piece of wire across to hold the cup above a small stove in there and to give it a bit of breathing room around the cup--->
I got the support wire a bit crooked in the holes(while it was hot..oh well)..why the cup is sitting crooked but it's easy to adjust it above the stoves(before it gets hot).
Tried a two stage stove,didn't want to take off..then a couple others.I didn't try the budlyte which might work.Ended up with a wedding favor one (starlyte style) that seemed to burn the best.I think the open pan/wicking material stoves might be the best bet for making coffee for me in that setup.
I don't really plan on burning wood until next year so probably will just use it for coffee with the 12oz cup and alcohol until then.I won't be doing anything but day hikes for a while...
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