Mine is pretty well the same as Sleepy's, the only difference is my background pic covers all 3 monitors.
I believe eyefinity engages when the control center loads.
So you're saying the control center isn't automatically detecting monitors. Obviously your vidcard is somewhat different with it's mutliple display ports, so for reference, in the control centre under Desktop Management/Advanced Display Settings/ USE Manual detection only is enabled.
I would guess the other setting.. detect whenever the control center is opened would function like what you're seeing.
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