I should add that when I say this is Thomistic theology, I don't mean in any wise that it is unique to the Angelic Doctor. It became the unanimous teaching of all Catholic schools, and there is not a single theologian or authority, let alone Doctor or Saint, who since that time has doubted or denied the Catholic doctrine of the threefold baptism and their salvific efficacy.
Also, Pope St. Pius V's condemnation of Michael Baius' propositions evidently affirms perfect charity in catechumens also remits sins, which modern Feeneyites attempt to deny.
As for you, Isaac, your original post implied you believed the Feeneyite error that baptism of blood or desire could suffice for justification, but not salvation, which is a common Feeneyite misunderstanding. So I posted that passage which despite your misunderstanding of it does show that desire has the same effect as baptism itself, also in the canons, with regard to the translation from sin and death to grace and life.
A brief comment on your erroneous view. I could have provided three paragraphs before and after and it would have made no difference to what I already knew you were going to say. Trent is speaking about justification and baptism, so obviously it quotes the Gospel in John 3:5. But precisely to prevent people like you from wresting the Gospel, and indeed the Council, it adds the phrase "or the desire thereof", even in the canons, which every one at the Council understood to dogmatically affirm the known Catholic teaching that the sacramental effect both of baptism and later of penance can be received in re or in voto.
The selfsame Apostle and even the Lord Himself in the same Gospel plainly and repeatedly teach that perfect charity secures the remission of sins and the translation into grace, as the Catholic Church has often affirmed. As Our Lord explained to St. Catherine of Sienna, the Apostle also speaks of the threefold baptism in his Gospel and epistles.
"I wished thee to see the secret of the Heart, showing it to thee open, so that you mightest see how much more I loved than I could show thee by finite pain. I poured from it Blood and Water, to show thee the baptism of water which is received in virtue of the Blood. I also showed the baptism of love in two ways, first in those who are baptized in their blood shed for Me which has virtue through My Blood, even if they have not been able to have Holy Baptism, and also those who are baptized in fire, not being able to have Holy Baptism, but desiring it with the affection of love. There is no baptism of desire without the Blood, because Blood is steeped in and kneaded with the fire of Divine charity,because through love was it shed.
You make quite the leap by going from the pope declaring the dogma of exclusive salvation all the way to the pope not declaring anything at all.
The Pope is saying exactly what St. Fulgentius and the Fathers say - there is no salvation outside the Church. But there is a threefold way in which one may enter or be joined to the Church and the very excerpt from Florence is phrased in the very terms St. Fulgentius used "unless before death they are joined with Her" which he understood as and which plainly refers to an extraordinary means of baptism such as that of blood.
Indeed, the very Saint who first formulated EENS as such was St. Cyprian, and he spoke of the threefold baptism. Your objection is patently false.
It is exactly like saying I will not believe in the Holy Trinity because it contradicts my monotheism.
You are absolutely obliged to believe in it.
Cushing is irrelevant. You contradict yourself all the more by claiming a "new catechism" after Cushing "suddenly" taught "three baptisms" when I've shown you the doctrine is approved and taught by the Magisterium of the Church, as well as by the Baltimore Catechism, is of Apostolic origin, is plainly contained in Sacred Scripture, is borne witness to by the Fathers, is taught by the great Saints and Doctors including in the Summa, and was the unanimous teaching of all Catholic schools centuries prior to this Cushing. The heretic Peter Abelard is the last recorded person who attempted to cast doubt on the Catholic doctrine of the threefold baptism, before modern dogmatic Feeneyites. He was refuted based on Holy Writ and patristic Tradition by Hugh of St. Victor and St. Bernard.