Removal fulfillment service shipping method

As of 2024-10, you can no longer use the deprecated shippingMethods field on the fulfillmentService query or include it as an argument in the fulfillmentOrderSubmitFulfillmentRequest mutation.

The shipping method associated with the fulfillment service provider applied only to Fulfill By Amazon fulfillment service. The Fulfillment by Amazon feature is not supported as of March 30, 2023. To continue using Amazon fulfillment, merchants need to set up a Multi-Channel Fulfillment solution recommended by Amazon.

To learn more see https://help.shopify.com/manual/shipping/fulfillment-services/amazon#activate-fulfillment-by-amazon