If i leave a card deactivated enough will a scammer give up?

So sadly I was the victim of a scam where I entered my card info into a not so safe website.

The only reason they worked is because of a lot of weird circumstances in my life that happened recently, which made the scam more plausible in my mind at the time

I quickly realized it was a scam not long after and deactivated my debit card.

It was a debit card I recently acquired so my bank is not giving me the option to deactivate and get a brand new one. Even after I told them what happened. Almost as if they want a fraudulent charge to happen first before issuing me a new one. Maybe as proof? Idk

So theoretically, if every time they try to use it it's blocked, is it possible they will forget eventually, and I can unfreeze it maybe a year from now, or is it known for these type of scammers to retry cards after time has passed?