I shouldn't have assumed... lol
Yes, this can work... or, if you have a managed switch, you can setup port mirroring (but the traffic must be flowing through the switch, of course -- assuming the camera is wireless: camera > AP 1 > switch > AP 2 > phone). If the camera is wired to a managed switch, port mirroring on that switch is the easiest/fastest way to achieve the goal.
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Thanks! 