...accountable for their failure to do their jobs and serve the public.
Fairness and Accuracy in Reporting (FAIR) has a Take Action app you can install. You can sign up for email notifications, but I'm trying to minimize that. If you just install the app you can check in perioically for recent action alerts -- no email notifications. And the contact information provided for the various action alerts is worth keeping handy in OneNote or some such for when you see anything that pisses you from the same source (e.g. last week's alert on NYTimes to email corrections@nytimes.com)
https://fair.org/take-action/
Media Matters is worth checking in on for news and analysis. They have a Take Action page, but the campaigns are long running (i.e. no rapid response alerts.)
Searching Google for "organizations that are engaging the public in holding major news organizations accountable for failure to actually inform the public" yields a pretty good AI summary that lists various organizations and highlights a couple specific campaigns.