Update docs_deploy builder with the real name. (#116631)

This is removing the temporary comments and simplifying the name.

Bug: https://github.com/flutter/flutter/issues/115489

.ci.yaml

@@ -4682,12 +4682,7 @@ targets:
         ["framework", "hostonly", "shard", "windows"]
 
 
-  # TODO(drewroengoogle): Remove this target when the release scheduler is
-  # confirmed to be working correctly and as intended.
-  # (https://github.com/flutter/flutter/issues/100806)
-  # This target is marked `bringup: true` because this is a temporary target
-  # that is not intended to impact the tree.
-  - name: Linux docs_deploy_with_release_scheduler
+  - name: Linux docs_deploy
     recipe: flutter/flutter
     scheduler: release
     bringup: true
@@ -4704,5 +4699,5 @@ targets:
         ["framework", "hostonly", "linux"]
       validation: docs_deploy
       validation_name: Docs_deploy
+      # TODO(godofredoc): Update to docs-flutter-dev before release.
       firebase_project: master-docs-flutter-dev
-      release_ref: refs/heads/master