Geez. That is ugly. Couple of observations:
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the rafters are paralleled to the ‘turn’ it’s making to cross the beam. The photos suggests there is space above the support beam between the rafters. Are your contractors 100% positive that space can’t be utilized for this turn?
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This is ugly enough that I might consider totally re-doing that run of the ducting, and whatever else it might affect. Have your guys offered any such options? It’s probably expensive, but it’s probably better than an ugly-ass ‘something’ in the middle of the room.