feat: Persist filters across tabs

[romitg2]

What does this PR do?

• Fixes Persist filters across tabs to improve user experience #21696 (GitHub issue number)
• Fixes CAL-5892 (Linear issue number - should be visible at the bottom of the GitHub issue description)

before: (filters getting lost on navigation)

https://www.loom.com/share/3c3ddc3e943e46da8e6341bb3fe6e3cd?sid=4905a84f-0506-4bca-a154-3f3bb43c7d75

after:

https://www.loom.com/share/19eab5cdb2944654b20446ca1e09d10f?sid=c64c3d91-29ca-41d6-8969-5302e7d5fb38

Mandatory Tasks (DO NOT REMOVE)

• I have self-reviewed the code (A decent size PR without self-review might be rejected).
• I have updated the developer docs in /docs if this PR makes changes that would require a documentation change. If N/A, write N/A here and check the checkbox.
• I confirm automated tests are in place that prove my fix is effective or that my feature works.

Checklist

• I haven't read the contributing guide
• My code doesn't follow the style guidelines of this project
• I haven't commented my code, particularly in hard-to-understand areas
• I haven't checked if my changes generate no new warnings

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Summary by cubic

Filters now stay applied when switching between tabs in the bookings view, so users no longer lose their selected filters during navigation.

[vercel]

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[graphite-app]

Graphite Automations

"Add consumer team as reviewer" took an action on this PR • (06/04/25)

1 reviewer was added to this PR based on Keith Williams's automation.

"Add community label" took an action on this PR • (06/04/25)

1 label was added to this PR based on Keith Williams's automation.

[anikdhabal]

@romitg2 thanks for your work. Going with this:- #21706