@Alex AThere is a thing called authority, which comes from God as Our LORD taught when before Pilate.
All of the acts of the Church via a Pope that he can do and has done are valid acts. One of those acts is canonization of saints. Another would be saying Mass and consecrating the Eucharist (cf Rev 13:13).
Who continues to appoint Bishops?
God is all knowing and foresaw this even as he was telling Peter and the rest of the 12 that the Gates of Hell would never prevail against His Church.
PS And it it not “my logic” - that’s YOUR non-sequitur logic. What I now assert about this Pope is now plain beyond any shadow of a doubt. The Church already has had Popes accused of Apostasy as I have commented elsewhere here on GTV.
PPS Another example: Canon Law mandates that Bishops can only be consecrated by permission of the Pope. Yet the Bishops Abp Lefebvre consecrated in disobedience even though illicit and at that time automatically excommunicated, are nonetheless valid Catholic Bishops, because any Bishop has power in him from God to consecrate those others who can be consecrated, as Bishops.
PPPS Sex is only permissible within marriage, yet children can result out of wedlock even though the rights of the future prospective spouses were usurped.
PPPPS Cf The chief priests and the elders of the people’s treatment of Christ. It is by the Supreme Pastor, the Bishops, and priests in our day that the Church is enduring her passion in the footsteps of the LORD, her Head and Groom.