Update Repo ref switcher to use Vue ref_dropdown

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We have a Vue ref_dropdown component, let's update the current ref switching (which is in HAML) in the Repo view to use that instead:

Info on the Ref Dropdown component

The Vue ref_dropdown component was introduced in this MR !55394 (merged)

Proposal

I think this issue will need to be tackled iteratively and here are my suggested steps:

1. Create a shared component from the ref_dropdown component built for the pipeline
2. Used this shared component for the repository page
3. Update the pipeline ref_dropdown to use this shared version (might want to get the Verify team involved here)