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This CL adds tests for deleting custom search engine.

Fixed: 1041399
Change-Id: I0ce5434551538dd793fde8098209e37db0813707
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2002569
Commit-Queue: Gauthier Ambard <gambard@chromium.org>
Reviewed-by: Eugene But <eugenebut@chromium.org>
Cr-Commit-Position: refs/heads/master@{#732318}