Ran out of fuel after 3 aborted landings, pilots perhaps distracted by an engine failure?
Page 17 shows ~5000 lb/hr at mid weight: https://www.air-septimanie.com/pdf/technical/A320/en/A320PER...
Longer if they're having problems turning the plane due to hydraulic issues.
Isn’t it considered good policy to redirect after a few aborted landings?
(Not a Pilot).
Generally there are alternate airports chosen for if a plane can't land at its desired destination + fuel for multiple aborted landings
If weather is below minimums.
But an airliner doing more than 1 go-around in good weather is something that I've never heard of - it means the pilots don't know how to control airspeed.
Because airplanes land on their main (back wheels) first, the nosewheel is not considered very important, and the incident is considered to be very survivable.
However, in foreign countries, there can be a greater fear of career repercussions for damaging equipment or delaying flights. This was also seen in the SFO Asiana accident that a foreign crew just fell apart in an atypical scenario:
https://en.wikipedia.org/wiki/Asiana_Airlines_Flight_214
Once in a while in the US you hear of a pilot trying to land firmly to snap the nosewheel into position, but it would be unusual for them to take off and try it again, esp. with passengers.
Some factors are: the pilot doesn't trust the gear indicators for some reason, or they decide burning off fuel before landing is safer, or the airport doesn't have adequate firefighting equipment or a nearby hospital.
Source: commercially-rated airplane pilot, small airplane maintenance test pilot.