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Changes being made in crrev.com/c/2353092 are breaking these tests when
using web::HttpServer. So this CL converts them to the now recommended
EmbeddedTestServer.

Bug: 891834
Change-Id: Ifa5b28483d8d35038c677fca6cb82608d25cfcfc
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2362976Reviewed-by: Rohit Rao <rohitrao@chromium.org>
Commit-Queue: Mike Dougherty <michaeldo@chromium.org>
Cr-Commit-Position: refs/heads/master@{#799777}