I am having a brain fart with the wiring of an antique lamp. Itīs a typical one bulb on top with its own switch and 3 bulbs below with one common switch. This lower switch (size no longer made) is kaput, so I want to wire the lamp with the top socket switch controling all four.

I am missing something because if I wire all together, the lower 3 come on as soon as the lamp is plugged in although the top works as usual. Any ideas would be greatly appreciated.

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