REFACTORING: Follow-up from "Update status on alert management detail view"

The following discussion from !31680 (merged) should be addressed:

• @tristan.read started a discussion: (+1 comment)

  @lauraMon Nice work! A couple of suggestions:

  1. We should use gitlab utility classes instead of the existing ones, however since this same pattern already exists on the list view I think it could be done as a follow-up, with both instances replaced together.
  2. Since we are effectively duplicating this component between the list and the detail view, it would be nice to split this into a separate component file and reuse it between both views. This makes point 1. somewhat redundant. Would also recommend this as a follow-up rather than blocking this change.

  Neither of these are blocking so I'm going to approve. Back to you!