PATTERN-IS-FULL...
A pretty accurate summary, I'd say; nice work!
One correction I'd make:
losing just one engine (25% of thrust) was enough to make it instantly a fuel emergency situation
Is over-egging the pudding somewhat. There was a significant penalty on 3 engines, but it was hardly a 'fuel emergency'. In my experience it was more of a
fuel irritation.
My current work aircraft also suffers a significant range penalty with an engine out, but that hardly matters because we will be landing at the nearest suitable airport. Concorde had an even bigger range penalty with two engines out (although we always had fuel to reach an airfield in this situation) but, again, with two engines out it still had far more range flexibility than the 777...