integration-docs: Update Github Sponsors for new doc format.

Part of zulip#29592.

zerver/webhooks/github/githubsponsors.md

@@ -1,22 +1,36 @@
+# Zulip GitHub Sponsors integration
+
 Get GitHub Sponsors notifications in Zulip!
 
+{start_tabs}
+
 1. {!create-channel.md!}
 
 1. {!create-an-incoming-webhook.md!}
 
-1. {!generate-integration-url.md!}
+1. {!generate-webhook-url-basic.md!}
 
-    You can refer to GitHub's documentation for [webhook events](https://docs.github.com/en/developers/webhooks-and-events/webhooks/webhook-events-and-payloads#sponsorship).
-
-1. Go to your profile on GitHub and click on **Sponsors dashboard**.
-   Select **Webhooks**. Click on **Add webhook**. GitHub may prompt
+1. Go to your profile on GitHub, and click on **Sponsors dashboard**.
+   Select **Webhooks**, and click **Add webhook**. GitHub may prompt
    you for your password.
 
-1. Set **Payload URL** to the URL constructed above. Set **Content type**
-   to `application/json` and click **Create webhook**.
+1. Set **Payload URL** to the URL generated above. Set **Content type**
+   to `application/json`, and click **Create webhook**.
+
+{end_tabs}
 
 {!congrats.md!}
 
 ![](/static/images/integrations/githubsponsors/001.png)
 
-See also the [GitHub integration](/integrations/doc/github).
+{!event-filtering-additional-feature.md!}
+
+### Related documentation
+
+- [GitHub's webhook events documentation][github-webhook-events]
+
+- [Zulip GitHub integration](/integrations/doc/github).
+
+{!webhooks-url-specification.md!}
+
+[github-webhook-events]: https://docs.github.com/en/webhooks-and-events/webhooks/webhook-events-and-payloads