Missouri Gov. Mike Parson (R) .. vowed his administration would seek to prosecute and investigate .. anyone who aided the publication in its "attempt to embarrass the state and sell headlines for their news outlet." Embarrassing governments is the natural outcome of the press doing it's job. This is what the extra constitutional protections are for.
There’s no extra constitutional protections. It’s all under free speech. Everyone is equal.
The freedom of the press is a right granted to all citizenry of the United States, not a specialized permission granted to an elite caste.