Bookings: Integrate filter API for booking list

[itsmeichigo]

Part of WOOMOB-1240

Description

This PR integrates the API for filtering bookings. Changes include:

• Unifies all filters in one param for loading bookings in BookingsRemote and updates all call sites accordingly.
• Updates the requests on All tab (both booking list and search) to apply filters.
• Updates the predicate for the results controller on the booking list following the filters.
• Updates BookingDateTimeFilterView to convert the selected dates to clear time zone details. The reason is that Bookings backend treats dates as fixed time without time zone details. More details can be found on the Slack thread: p1759398245019489-slack-C09FHQNQERG.

Known issues:

• Empty state views would need to be updated in a subsequent PR after all designs are updated and finalized.
• Filtering attendance status and payment status "Cancelled" would cause the requests to fail. I'll check again with the team and update the options as these are still pending decision.

Test Steps

1. Log in to a CIAB store with existing bookings.
2. Navigate to Bookings tab > All > Filters.
3. Select any filter options (except for attendance and payment statuses "Cancelled").
4. Confirm that the list is reloaded correctly.
5. Regression check: confirm that the Today and Upcoming tabs still show correct bookings.

Screenshots

Simulator.Screen.Recording.-.iPad.mini.A17.Pro.-.2025-10-31.at.17.48.51.mov

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• I have considered if this change warrants user-facing release notes and have added them to RELEASE-NOTES.txt if necessary.

[wpmobilebot]

📲 You can test the changes from this Pull Request in WooCommerce iOS Prototype by scanning the QR code below to install the corresponding build.

	App Name	WooCommerce iOS Prototype
	Build Number	pr16302-baa0954
	Version	23.5
	Bundle ID	com.automattic.alpha.woocommerce
	Commit	baa0954
	Installation URL	4adegvp4krga8

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[adborbas]

Looks good 👍