Bookings: Update filter UI for team members

[itsmeichigo]

Part of WOOMOB-1240

Description

This PR adds changes needed for filtering team members for bookings. Changes include:

• Integrates the team member syncing in BookingsRemote, BookingStore, and BookingAction.
• Creates a generic solution for syncable list selector. We'll need to reuse the solution for Service/Event filter in a subsequent PR.
• Implements list selector for team members including syncing, pagination, and selection.

Apologies for the large number of changes. I should have separated the integration of the team member syncing in a separate PR but I wanted to unify all logic in one PR.

Testing steps

• Log in to a CIAB store with existing bookings.
• Navigate to Bookings tab > All > Filter.
• Select Team member and confirm that the member list is loaded successfully.
• Select any option and confirm that the list is dismissed, and the selected member name is displayed on the Filter screen.

Testing information

• Tested functionalities with simulator iPhone 17.
• Added unit tests for team member syncing in the Networking and Yosemite layers.

Screenshots

Simulator.Screen.Recording.-.iPhone.17.-.2025-10-24.at.10.25.10.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.

[dangermattic]

	1 Warning
⚠️	This PR is larger than 300 lines of changes. Please consider splitting it into smaller PRs for easier and faster reviews.

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[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	pr16271-8cdd87d
	Version	23.5
	Bundle ID	com.automattic.alpha.woocommerce
	Commit	8cdd87d
	Installation URL	5k79dj9b4bkbg

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[adborbas]

Looks good!

[RafaelKayumov]

LGTM. Works as described.