回答:
お元気で。
このJavaScriptコードをお試しください。これがお役に立てば幸いです。
define(
    [
        'Magento_Checkout/js/model/quote',
        'Magento_Checkout/js/model/shipping-rate-processor/new-address',
        'Magento_Checkout/js/model/shipping-rate-processor/customer-address',
        'Magento_Checkout/js/model/shipping-rate-registry'
    ],
    function (quote, defaultProcessor, customerAddressProcessor, rateRegistry) {
       'use strict';
       var processors = [];
       rateRegistry.set(quote.shippingAddress().getCacheKey(), null);
       processors.default =  defaultProcessor;
       processors['customer-address'] = customerAddressProcessor;
       var type = quote.shippingAddress().getType();
       if (processors[type]) {
          processors[type].getRates(quote.shippingAddress());
       } else {
          processors.default.getRates(quote.shippingAddress());
       }
    }
); requirejs([
    'Magento_Checkout/js/model/quote',
    'Magento_Checkout/js/model/shipping-rate-registry'
], function(quote, rateRegistry){
    var address = quote.shippingAddress();
    address.trigger_reload = new Date().getTime();
    rateRegistry.set(address.getKey(), null);
    rateRegistry.set(address.getCacheKey(), null);
    quote.shippingAddress(address);
});