I meant can you takeoff below V1...sacrificing the safety of one engine op to get off the ground and then deal with the blown tire.
It's always a possibility. One of the issues that would pass through my mind is "We have a problem that's probably a blown tire....if it has caused any as yet undetermined engine or control surface damage...I don't want to be airborne at a very low speed that might be at or deteriorate to a speed close to Vmc and have a worse problem. Of course you really have to react and don't have that much thinking time. Then another issue isn't yet talked about is crew fatigue. This fight was leaving just before midnight local. What "body time" was the crew operating on? How much real rest had they had? There are rest time regulations but they're absurd and among other things don't take circadian rhythm into consideration.
Time will sort it out.