Tower asked "are you going to continue" and they replied. That sounds like low speed (high speed you wouldn't reply that quickly, focus on takeoff first). And at low speed if it went through the engine you would abort the takeoff.
With most airlines the rule is "below 80kt stop for any warning or caution, above 80kt only abort for engine failure, fire, or unable to fly"
Tower asked "are you going to continue" and they replied. That sounds like low speed (high speed you wouldn't reply that quickly, focus on takeoff first). And at low speed if it went through the engine you would abort the takeoff.
With most airlines the rule is "below 80kt stop for any warning or caution, above 80kt only abort for engine failure, fire, or unable to fly"