Shipping Label: Handle payment method selection

[itsmeichigo]

Closes WOOMOB-527

Description

This PR integrates the account setting update API endpoint to handle payment method selection. Changes include:

• Networking: Updated WooShippingRemote with a new method for updating account settings.
• Yosemite: Updated WooShippingAction and WooShippingStore`.
• UI: handled the action upon tapping the Use this card button.

Testing steps

1. Log in to a test store with Woo Shipping plugin set up.
2. Navigate to the Orders tab and select a paid order with physcial products and unfulfilled shipments.
3. If your store already has no payment methods set up, follow the guide in PbTz5e-gi-p2 to add more than 1 test payment method in the sandbox mode.
4. Select Create shipping label > Expand the Shipment details bottom sheet > select the payment method section.
5. Select a payment method different from the selected method and/or toggle the email receipt switch.
6. Tap Use this card and confirm:

• If the request succeeds, the payment method sheet should be dismissed, and the correct payment method section is display in the Shipment detail sheet. Tapping on the payment method section again, the presented sheet should display the updated settings.
• If the request fails, an alert should be displayed with an option to retry.

Testing information

Tested and confirmed with simulator iPhone 16 iOS 18.4

Screenshots

Simulator.Screen.Recording.-.iPhone.16.-.2025-05-30.at.17.50.02.mp4

Error state:

---

• 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	30206
	Version	PR #15684
	Bundle ID	com.automattic.alpha.woocommerce
	Commit	99b90a9
	Installation URL	6nqjv94e4ho20

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

[RafaelKayumov]

LGTM. Tested on iPhone 16 (18.4) Simulator