So you're saying that the phrase "aut ejus voto" means "AND the desire" not "or the desire"? This is due to the the use of the word "sine" earlier in the sentence? Interesting.
Correct. Even in English.
I cannot play (a game of) baseball without a bat or a ball.
This means that I cannot play baseball unless I have BOTH a bat and a ball and that if EITHER ONE IS MISSING, I cannot play baseball. In the positive, if I say, I CAN play baseball with a bat or a ball, then this means that I can play the game if I have one OR the other (not necessarily both). See the difference. If Trent had wanted to say that EITHER the laver OR the desire sufficed, Trent would have used an EITHER...OR construct (like AUT...AUT or VEL...VEL). In the case of Confession, Trent uses "VEL...VEL" to mean that either the desire or actual Confession sufficed for restoration to justification. Trent did NOT do that here with Baptism.