chore: style status messages for 10.3

[lazysoundsystem]

Refs: OPS-10532

Types of changes

• Improvement (non-breaking change which iterates on an existing feature)
• ✔️ Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to not work as expected)
• Security update (dependency updates, or to fix a vulnerability)

Description

Discovered during testing feedback from GMS - a change in bigpipe means now theme-hints for status messages don't work as they did. As suggested in https://www.drupal.org/project/drupal/issues/3456176, we now should theme them in a js template rather than through twig. Leaving the twig template for status messages that aren't handled by js.

Steps to reproduce the problem or Steps to test

1. Trigger a status message on a non-admin page.

Impact

How does the proposed change impact existing implementations? What action is needed to accommodate these changes?

PR Checklist

• I have followed the Conventional Commits guidelines.
• My change requires a change to the documentation.
• I have updated the documentation accordingly.
• I have made changes to the sub theme to reflect those in the base theme