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Adds a new "badge_public" source_set in //chrome/browser/infobar and
"badges_constants" source_set in //showcase to avoid any chrome/app
dependencies.

Bug: 987646
Change-Id: I9116a971d0f90ef22ca02f4972f97c644ba481fe
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/1911222Reviewed-by: Eugene But <eugenebut@chromium.org>
Reviewed-by: edchin <edchin@chromium.org>
Commit-Queue: Chris Lu <thegreenfrog@chromium.org>
Cr-Commit-Position: refs/heads/master@{#715072}