Reland "Migrate webmessaging WPTs to headless shell"

This reverts commit 2874befadcf04e943e9873d7dbebc31341e8cf0f.

Reason for revert: The failures linked in the revert are actually from webidl, and that one has been reverted through crrev.com/c/5979936.

Original change's description:
> Revert "Migrate webmessaging WPTs to headless shell"
>
> This reverts commit db9ee14ab4ff72a805c395a158fa284502405674.
>
> Reason for revert: Suspecting this CL might have broke step headless_shell_wpt_tests on multiple builders, see "WebKit Linux MSAN" first failing build [0] and "linux-win-cross-rel" first failing build [1]
>
> [0] https://ci.chromium.org/ui/p/chromium/builders/ci/WebKit%20Linux%20MSAN/29224/overview
> [1] https://ci.chromium.org/ui/p/chromium/builders/ci/linux-win-cross-rel/3096/overview
>
> Original change's description:
> > Migrate webmessaging WPTs to headless shell
> >
> > Bug: 40927590
> > Change-Id: If715637d1ef350e8ed2d954c436774fc57cba8a1
> > Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5977542
> > Reviewed-by: Marijn Kruisselbrink <mek@chromium.org>
> > Commit-Queue: Weizhong Xia <weizhong@google.com>
> > Cr-Commit-Position: refs/heads/main@{#1376594}
>
> Bug: 40927590
> Change-Id: If5ea614f22cc39628b3ee76f088bccd2d4eb42ff
> No-Presubmit: true
> No-Tree-Checks: true
> No-Try: true
> Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5983185
> Bot-Commit: Rubber Stamper <rubber-stamper@appspot.gserviceaccount.com>
> Owners-Override: Munira Tursunova <moonira@google.com>
> Commit-Queue: Munira Tursunova <moonira@google.com>
> Cr-Commit-Position: refs/heads/main@{#1376815}

Bug: 40927590
Change-Id: I1c2ded96b5f68daa87964689bb3c6a8c9ab5c249
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5984951
Reviewed-by: Jonathan Lee <jonathanjlee@google.com>
Reviewed-by: Marijn Kruisselbrink <mek@chromium.org>
Commit-Queue: Weizhong Xia <weizhong@google.com>
Cr-Commit-Position: refs/heads/main@{#1376975}