Two issues here:
a load bang on take off
It happened on take off so the engine was at high thrust and it DIDN'T fail. No reason so far to assume it wouldn't provide high thrust.
were the crew confident that they would be able to achieve go-around thrust on the damaged engine
A bang by itself doesn't mean a damaged engine. The Status messages that followed would have indicated that there
may be a problem, but co-ordination with engineering, lack of pax reports, ground reports etc AND a NORMALLY functioning engine (parameters/thrust response) could reasonably be deduced by the crew as a continue decision.
Surely this thread has died a slow death by now
