According to the last paragraph, you have to demonstrate coverage as an uncredentialed reporter in order to get credentialed. So the only way to comply with the law is to have previously broken the law repeatedly.
It should be noted here that there are tiered layers of press passes. The lowest is fairly easy to get if you’re persistent. And by persistent, I mean willing to spend weeks getting in touch with the NYPD press office, eventually reaching a live person, and making an appointment months away, and hoping (in order to be within the letter of the law) that nothing tantalizingly newsy and earth-shattering happens in the intervening period.
The “real” press pass, the one that allows you to cross yellow police tape, is only attainable if you’ve covered the kind of story that necessitated crossing the yellow line–without credentials. ((Thus, rookie reporters often sub in their bylines for breaking news stories and submit falsified copy to the NYPD.)