Fuck New York Times, I had to go through this chaos once and promised to never ever use any of their services ever again. I even went to the pain of making sure all my ad blockers were in full force when visiting the NYT. I developed a strong sense of hatred after realize what kind of slimy tactics they used to stop you from cancelling a subscription.
One day, I found a loophole. I would email them requesting a cancellation for my record and initiated a chargeback against them via my credit card company. I had no hopes of getting the money back, but then I also had evidence that I tried to reach out to them via calls and emails to make them cancel my subscription and the chargeback went through and I got a full refund. I really enjoyed that feeling knowing that the NYT lost more than they made from me as for every chargeback, the credit card company would penalize the merchant with a fixed fee - usually anywhere from $20 to $50 per chargeback if I'm not wrong.
I wish all those who had been scammed by NYT raises a chargeback and burn them to the ground. God, I never realized how passionately I could hate a company like this.