Option 1:

b2c-crm-sync can be used to integrate Salesforce Commerce Cloud and the Salesforce Service Cloud.

Salesforce has provided GitHub reference for the b2c-crm-sync tool.

For more information on the b2c-crm-sync, please check the following Salesforce Reference Article.

https://help.salesforce.com/s/articleView?id=sf.icx_b2c_conversationalcommerce_connector.htm&type=5

Trailhead Reference:

https://trailhead.salesforce.com/content/learn/modules/om-salesforce-order-management/om-connect-b2c-commerce-service-cloud

Option 2:

Salesforce B2C Commerce APIs can be used to to sync the data.

For more information on the Salesforce B2C Commerce APIs, please check the following Salesforce Reference Article.

https://developer.salesforce.com/docs/commerce/commerce-api/guide/get-started.html