Council of Trent, Session VI, January 13, 1547, Decree on Justification:
"...By which words a description of the justification of the impious is indicated - as being a translation of that state wherein man is born a child of the first Adam to the state of grace and of the adoption of the sons of God through the second Adam, Jesus Christ, Our Saviour. And this translation, since the promulgation of the Gospel, cannot be effected without the laver of regeneration or the desire thereof, as it is written: "Unless a man be born again of water and the Holy Ghost, he cannot enter into the kingdom of God".
Surely this affirms BOD and does not condemn it. The obvious sense of the words is not 'without the laver of regeneration and the desire', as you want to make it say, but one or the other, the laver of regeneration or the desire of the laver of regeneration. Otherwise, the Council would be saying that the baptism of a baby is not effected until it is old enough to also have the desire. Surely you can see that.
No, by adding a meaning to that which it clearly does not say, you are playing with the words. The word is "or" and it means "or," it means only "or."
It is because justification cannot be effected without the laver of regeneration, that neither can justification be effected with the desire for the laver of regeneration. This is the meaning of "or." Justification cannot be effect without the sacrament or the desire for the sacrament means what it says. They confirm this by ending with "as it is written John 3:5."
Trent says no sacrament = no justification. They do not then immediately contradict themselves with the following 4 words "or the desire thereof."