Switch to using allowed_mimetypes in webapi resources.

Review Request #4809 — Created Oct. 20, 2013 and submitted — Latest diff uploaded

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master

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Switch to using allowed_mimetypes in webapi resources.

The allowed_item_mimetypes and allowed_list_mimetypes were deprecated in
Djblets 0.6, but a few of our resources still use them. They'll be nuked
from Djblets soon, so I've updated our code here to no longer use them.

Unit tests pass.