map.flyTo avoids crossing the antimeridian when projection is globe

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**mapbox-gl-js version**: 2.15.0

**browser**: Firefox 114.0.2 (or latest chrome also)

### Steps to Trigger Behavior

1. Try to fly from somewhere far east in the eastearn hemisphere to somewhere west in the western hemisphere.

With a globe projection, the map will go westwards (around the world), while other projections like the mercator projection will go eastwards (the shorter route).
This is related to #2071 and #1853.

### Link to Demonstration

https://github.com/mapbox/mapbox-gl-js/assets/64247965/8aa6fd6a-744f-441c-9e3c-6456bb41fde9

Code to reproduce:
```
map.flyTo({
center: [180, 0],
});
setTimeout(() => {
map.flyTo({
center: [-180, 0],
});
}, 2500);
```
### Expected Behavior
Take the shortest possible path.

### Actual Behavior
Stays on w=0 and goes "the wrong way around" the globe.

Start at the map.flyTo entry point and reproduce the transition from [180, 0] to [-180, 0] with globe projection. Compare the route with the mercator behavior and verify that the globe animation takes the shortest path around the antimeridian.

Written by the indexing model from the issue text.