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ProfileInfoCache is being refactored into ProfileAttributesStorage and
ProfileAttributesEntry, which use profile paths instead of numerical
indices in the interface. See
https://codereview.chromium.org/1599013002/ for details.

This CL adds an comparator for sorting ProfileAttributesEntry, and also
converts the calls in c/b/ui/app_list to use the new interface.

BUG=305720

Review URL: https://codereview.chromium.org/1631373003

Cr-Commit-Position: refs/heads/master@{#374726}