In an Ecuмenical Council, the Holy Ghost is the Author of the infallible pronouncements therein. Vatican II does not contain a single infallible pronouncement. In fact, both conciliar popes explicitly stated, 'We will not define anything in this council'. Consequently, I cannot even see how Vatican II could possibly be a Council (capital 'C').
Paul VI inserted the Note into the official council text during the sessions. It is officially part of the text, not just a sticky note stuck on afterwards.
Read the relevant passage again, "...the sacred [sic] council defines as binding on the Church only those things in matters of faith and morals which it shall openly declare to be binding". As there is no such instance in the entire collection of docuмents, this passage means in plain English, "Throw out whatever you choose in these docuмents".
Interpreting that line in the way you did in the capitalized section of your post ironically involves Olympic-level mental gymnastics to say the least.
Every docuмent of the Council ends with the solemn approval and promulgation by Paul VI's imaginary apostolic authority.
If you believe he had apostolic authority your Church's official, binding teaching is the whole of V2.
Also, parts of the council indicate heresies are contained in Divine Revelation, which is infallible language.
See here for ample proof:
https://schismatic-home-aloner.com/vatican-ii-infallible/