I don't think the power of the Three Rings just winked out when the One was destroyed: rather their power and properties began to fade and diminish, i.e. they lost the 'preservative' element that the elves created them for. The final scenes of LOTR still suggest they have some potency. Thus, when Galadriel threw down the walls of Dol Guldur, she was doing it still as a Ring-bearer.
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