Move web smoke tests to luci.

Change-Id: Ib2d2052facc1242108ed0efeb1d8813eec25a626
Bug: https://github.com/flutter/flutter/issues/64070
Reviewed-on: https://flutter-review.googlesource.com/c/recipes/+/5841
Commit-Queue: Godofredo Contreras <godofredoc@google.com>
Reviewed-by: Christopher Fujino <fujino@google.com>
Reviewed-by: Nurhan Turgut <nurhan@google.com>