So if I'm reading your laser's specs correctly, it needs to be powered by 12V. That means you would need an external power supply, since the Cetus provides 5V on the accessory ports (besides which, I don't think those ports could source enough amps to power the laser anyway).
On the bright side, the accessory port does supply 5V, which according to your spec above is what the TTL control of your laser needs, so that sounds like it would be perfect.
As I've mentioned before, we'll have to wait on Cetus to disclose what's happening with turning on/off that pin, though, since it doesn't seem to work with the command mentioned in the update I've linked above.
As for the actual connection, I think (but am not positive), that it's a JST-EH connector. But be careful, there's some places selling what they call JST-EH which is clearly not, so look at it before buying. I've been able to repurpose an R/C receiver servo plug to fit, though the pin-out is different.
The connector I'm talking about is under the white cover on top of your extruder. The one on the right side in the attached image.
