Assuming your laser is a 24v machine, a 6A supply should work fine. But without knowing the connector barrel size, whether or not that Amazon unit will work is a mystery.
Do you have ANYTHING with a barrel type connector you can plug in? Something that can give you a relative indication of the size?
I just tried miscellaneous cables I had around the house. On the first, the barrel diameter was too much and it wouldn’t even fit in the receptacle. On the second, the diameter was small enough to fit, but the machine still wouldn’t turn on so I’m guessing the barrel length was too short. I’ve tried emailing Jiccoda after-sales support and scoured the Jiccoda storefront on Amazon, but have gotten no response from either.