Calculating bearing in with geodesic coordinates

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I am attempting to calculate the bearing from an object with geodesic coords given by latitude/longitude and a heading to another object at different latitude/longitude coordinates.

A rough sketch of the problem is

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where the triangle represents object one, the arrow represents object one's heading, and the square represents object two.

I am aware this can be done using the haversine formula, as in , but how would one do this while simultaneously taking spheroid earth into consideration.

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