refac: move table toolbar code to new rune stores

[AdityaHegde]

We added some utilities to simplify query param based filter in tables: #9283

This PR moves all usages of the table toolbar to use the new stores.

Checklist:

• Covered by tests
• Ran it and it works as intended
• Reviewed the diff before requesting a review
• Checked for unhandled edge cases
• Linked the issues it closes
• Checked if the docs need to be updated. If so, create a separate Linear DOCS issue
• Intend to cherry-pick into the release branch
• I'm proud of this work!