I do have a separate private app for the new integration. Also the existing integration creates the webhook programatically, so I will register the second webhook in the Admin section under the new private app and it sounds like I'll be in good shape...

Sorry if this question is common, I searched but didn't find anything describing my scenario.  My company has an existing Shopify integration to our ERP that they've asked me to rewrite. The existing integration uses an order creation webhook. I've t...