I'll usually do sprints over a longer run (and I'm on a track, so water's never more than 400m away) but when I do put down a 10k I don't carry water around with me (but I'm not doing them in the middle of the day, either).
I don't have any experience over 10k, but you might want to weigh yourself before and after to find out how much water you're actually losing during the run.
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