I'm not mad, I've still got my keys from 2014-ish. I only made a Coinbase account after a finance teacher in high school heard that I dabbled in crypto, and bet that he could build a better-yielding portfolio than I could. I logged onto Coinbase, spun up an account with $20 in it, and invested in Chainlink and Ether. Nowadays it's worth ~350 dollarydoos, which isn't absolutely necessary to retrieve. Honestly, it was worth it just to watch his enthusiasm crumble when his 30% APR high-risk portfolio paled in comparison to some dumbass high-schooler's prediction.
File a complaint with your state’s Attorney General, FINRA, the SEC, and NYDFS. Should help Coinbase along in recovering your account. Should take no more than an hour or two to file with all regulators I mentioned.
I'm surprised OP mentioned New York State Department of Financial Services (NYFDS), but this might be the local regulator if Coinbase's home state is New York.
I would still file with them, they can still escalate on your behalf since they are the regulator, or refer you to the agency you should file a complaint with.