You might consider something else besides the miltary canteen cup. I love those and used one for decades until recently I weighed it and it was 9 ounces, by itself. That's pretty heavy. I replaced mine with an Olicamp anodized aluminum cup and a round nalgene bottle, that has no after taste. Just a small weight savings but every little bit helps.
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No, I am not Bear Grylls, but I stayed at a Holiday Inn Express last night and Bear was there too!