What really pisses me off about this is that it would be SO FUCKING SIMPLE to give the chair literally ANY means to fly. Just tilt the wheels into a V-shape and add some glow and particle effects, BAM! Flying chair that doesn't look completely lazy and terrible.
Not to mention that it looks so... handmade, but is completely translucent. Usually magic, flying platforms in wow look like they're made out of a single piece, or at least as few as is possibly required.
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Which means Khadghar intentionally created a rickety wooden contraption out of magic, way overcomplicating the spell to add wheels and shit, and then
never uses the wheels. We're supposed to believe he's one of the greatest archmages to ever live... It's all so frustrating.