The connector you’re looking for is actually called the Google Analytics Data API in the Airbyte UI. Google Analytics v4 is actually a different connector for their legacy Universal Analytics API.
Really sorry about the confusion here, our docs are very misleading. I’ll be submitting a request to fix them asap.
In the meantime, this is the correct docs link: https://docs.airbyte.com/integrations/sources/google-analytics-v4/
For your reference, this doc is referring to the legacy connector: https://docs.airbyte.com/integrations/sources/google-analytics-universal-analytics/
Hope that helps, let me know if we can answer any other questions