Bookings: Update customer filter to support multiple selections

[itsmeichigo]

Part of WOOMOB-1240

Description

This PR updates the customer filters to support multiple selections.

Since it's tricky to update the existing customer filter to support multiple selections, I switched to the SyncableListSelectorView solution for booking customer filter instead. I also expanded this view to support searching and conditional selection as guest customers are not supported for filtering.

Test Steps

1. Log in to a CIAB store with existing bookings.
2. Navigate to Bookings tab > All > Filter.
3. Confirm that the customer filter is now named "Customer" instead of "Customer name".
4. Select Customer and confirm that more than one option can be selected.
5. Tap on the search bar and enter any keywords. Confirm that the search results are correct.
6. Tap on a guest customer and confirm that a notice is displayed saying guest customers are not supported for filtering.
7. Optional: do regression test on Team member and Service/event filtering to ensure both works fine. Also test Customer filtering on the order list to ensure it works as before.

Screenshots

Simulator.Screen.Recording.-.iPhone.17.-.2025-10-29.at.18.08.43.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]

	2 Warnings
⚠️	This PR is larger than 300 lines of changes. Please consider splitting it into smaller PRs for easier and faster reviews.
⚠️	This PR is assigned to the milestone 23.6. This milestone is due in less than 2 days. Please make sure to get it merged by then or assign it to a milestone with a later deadline.

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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	pr16291-b5c3d62
	Version	23.5
	Bundle ID	com.automattic.alpha.woocommerce
	Commit	b5c3d62
	Installation URL	0j9trqddsaufo

Automatticians: You can use our internal self-serve MC tool to give yourself access to those builds if needed.

[adborbas]

All looks good 👍

One small note, the customer list is flickering when opened with data already loaded in it.

[itsmeichigo]

One small note, the customer list is flickering when opened with data already loaded in it.

Good catch - that annoys me as well. I removed the loading state in #16294, hopefully that makes the experience better.