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The core is 2 bifilar coils and like coils shorted. It is at a first glance A CAPACITOR. At a second glance, when another AC coil is wound over the top, the core is two shorted coils of an air coil transformer, no magnetic core.
At a third glance it is two shorted loops which will have a huge circulating current passing through them when the overwound coil is passing AC.
Fourthly, the overwound coil will act as a third capacitive plate to the bifilar core capacitor, that is 3 plates that are all capacitively COUPLED.
FROM MY PHONE, may correct typos later.
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