Hi Jon,
I apologize, but I think I don't understand exactly what the problem is.

Anyway, if you need a unique "Oriented Minimum Bounding Box" that encloses all the features in the layer, then - as you probably already found - you can use the "Minimum bounding geometry" processing algorithm specifying the "Minimum Oriented Rectangle" method in the "Geometry type" parameter and without specifying any field in the "Field" parameter.

Regards.

Andrea
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