[MVC] Visualization designer filtering parity
### Proposal
As part of the wider https://gitlab.com/groups/gitlab-org/-/epics/13685+ epic, we should start by aiming to have parity with the existing visualization designer implementation.
This epic should result in providing customers with the functionality they already have but within the new filters UI.
### Exit criteria
1. Functional parity between existing visualization designer measures and dimensions selection process.
1. Feature flag enabled for all customers and then removed.
epic