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I don't know, is it that three switches were used to control three lights, and now six switches are needed to control three lights?
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Previously one switch controlled one light, now two switches control one light?
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Connect a 3-position switch.
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Do you want two three-position switches to control all three lights?
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The expression is not clear, is it a request to control these three lights in two places at the same time?
You see if the six small lights are divided into two ways, and connected to the two different circuits of the middle dual control switch, if so, just connect the line on the L 11 and L 12 to either one.
It's a bit ugly and I draw it myself, red for the line of fire and black for the zero line.
One of the three-control originals inside is broken. It needs to be removed and replaced with a new one, which is cheap. If you don't want to change it, just remove it, wiring it, and the switch just controls all the lights.
Two wires each, two single-open and double-control switches on both sides, and one single-open multi-control switch in the middle (halfway switch).
If it is broken, the light strip is easy to have problems, and it can only be replaced with a new one.