Based on the information provided in the extracts, it seems that Airbyte supports notifications through a webhook, which can be set up to notify you when syncs have failed or succeeded. This is achieved by inputting a URL into other applications to get real-time data from Airbyte [source](
https://docs.airbyte.com/operator-guides/configuring-sync-notifications). However, there is no specific mention of Google Chat Webhook in the extracts. The extracts do provide a detailed guide on how to set up Slack notifications, but it doesn't necessarily mean that only Slack webhooks are supported. It's possible that the issue you're experiencing is specific to your instance or setup. If you're still having trouble, I would recommend checking the format of your Google Chat Webhook URL or reaching out to the Airbyte support team for further assistance. You can also consider submitting a feature request or issue on their [Github page](
https://github.com/airbytehq/airbyte/issues/new?assignees=&labels=type%2Fenhancement%2C+needs-triage&template=feature-request.md&title=) if you believe this is a functionality that has been removed or is not working as expected.