Third point:
The abdication of the elected pope on October 26, 1958, did indeed take place, which allowed the conclave to continue and elect another pontiff. The certainty of this abdication—which is neither a hypothesis nor a conjecture—is corroborated by another fact that, too, cannot be disputed since it is verifiable.
Indeed, during the election of a Pope, before the elected candidate steps out onto the balcony, three things are absolutely necessary, namely:
- that he accepts,
- that he takes a name,
- and while the white smoke rises toward the sky, that he receives the first homage from all the cardinals.
And only then does he step out for the urbi et orbi blessing.
These three things occurred for John XXIII, which means that all the cardinals paid him homage, including the one elected on October 26, which means that the latter had indeed abdicated.
Everything I have stated in these three points cannot be disputed by anyone. The question remains as to whether the abdication was made under duress or not.
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(Source: first comment)