.......neither is an Encyclical - by its very existance - defined dogma/donctrine, unless defintively stated so.
You are playing at word games here!
Why are you, a traditionalist, insisting on the necessity of a definition before there is an obligation of acceptance? St. Pius X never countenanced such an odd doctrine.
Wherefore we find it necessary to declare and to expressly prescribe, and by this our act we do declare and decree that all are bound in conscience to submit to the decisions of the Biblical Commission relating to doctrine, which have been given in the past and which shall be given in the future, in the same way as to the decrees of the Roman congregations approved by the Pontiff; nor can all those escape the note of disobedience or temerity, and consequently of grave sin, who in speech or writing contradict such decisions, and this besides the scandal they give and the other reasons for which they may be responsible before God for other temerities and errors which generally go with such contradictions. (Praestantia Scripturae)
And of course the decrees of Roman Congregations cannot define anything, as they are not infallible.