Adding a new step to web recipe for web engine analysis.

This is the second part of the migration for this task.

Part 1: https://github.com/flutter/engine/pull/19726/
Part 2: Merging this recipe change
Part 3: Removing the Cirrus CI task

Successfull run example using PR 19726: https://chromium-swarm.appspot.com/task?id=4d631dfb7ab22610

Change-Id: I6c5a66cb263c247816ae9461b71958bb89c88669
Reviewed-on: https://flutter-review.googlesource.com/c/recipes/+/4260
Commit-Queue: Nurhan Turgut <nurhan@google.com>
Reviewed-by: Godofredo Contreras <godofredoc@google.com>