Getting to less than 45 minutes fuel on an IFR flight plan (all airliners) is an automatic full on emergency. Usually you request urgency from ATC before that so you can land with just over 45 min (+ whatever is needed for taxiing) of fuel available to avoid having to use emergency procedures and a lot of paperwork.

So probably that's what your pilot did as well. Two go-arounds and then flying to the alternate airport would usually get you very close to the 45 minute final reserve on normal fuel planning.