And the Bible is an exercise in the Church’s teaching authority.
The Magisterium IS - The Catholic Church’s Teaching Authority
It is “servant to” Sacred Scriptures -
CCC -
[81]
Sacred Scripture is the speech of God
as it is put down in writing under the breath of the Holy Spirit."
The Magisterium of the Church
**[85] “The task of giving an authentic interpretation of the Word of God, whether in its written form or in the form of Tradition, has been entrusted to the living teaching office of the Church alone. Its authority in this matter is exercised in the name of Jesus Christ.” This means that the task of interpretation has been entrusted to the bishops in communion with the successor of Peter, the Bishop of Rome.
[86] "Yet this Magisterium is not superior to the Word of God, but is its servant. It teaches only what has been handed on to it. At the divine command and with the help of the Holy Spirit, it listens to this devotedly, guards it with dedication and expounds it faithfully. All that it proposes for belief as being divinely revealed is drawn from this single deposit of faith."48
[102] Through all the words of Sacred Scripture, God speaks only one single Word, his one Utterance in whom he expresses himself completely:
You recall that one and the same
Word of God extends throughout Scripture, that it is one and the same Utterance that resounds in the mouths of all the sacred writers, since he who was in the beginning God with God has no need of separate syllables; for he is not subject to time.65
[103]
For this reason, the Church has always venerated the Scriptures as she venerates the Lord’s Body. She never ceases to present to the faithful the bread of life, taken from the one table of God’s Word and Christ’s Body.
104 In Sacred Scripture, the Church constantly finds her nourishment and her strength, for she welcomes it not as a human word, “but as what it really is, the word of God”. "In the sacred books, the Father who is in heaven comes lovingly to meet his children, and talks with them."68
II. INSPIRATION AND TRUTH OF SACRED SCRIPTURE
105 God is the author of Sacred Scripture . “The divinely revealed realities, which are contained and presented in the text of Sacred Scripture, have been written down under the inspiration of the Holy Spirit.”