Our Git integration for UCD doesn't use webhooks. You simply supply the parameters and execute the import versions process step. The plugin documentation should cover what you are looking for. If you are having a technical issue, please file a support case.
https://www.urbancode.com/plugindoc/git#tab-steps
https://www.urbancode.com/plugindoc/git#tab-usage
#SupportMigration#UrbanCodeDeploy#Support