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"tradition, what Holy Mother Church has taught at all times and in all places," Except that it did not as regards all the distinctive Catholic teachings which developed over time and are not manifest in the only wholly inspired substantive authoritative record of what the NT church believed (which is Scripture, in particular Acts through Revelation, which best shows how the NT church understood the gospels).

" certainly includes pre-biblical, verbally-conveyed TRUTH that, unsurprisingly, does not appear anywhere in the New Testament"

But while men such as the apostles could speak as wholly inspired of God and also provide new public revelation thereby (in conflation with what had been written), church leadership cannot claim the same. And as abundantly evidenced, as written and established, Scripture became the transcendent supreme standard for obedience and testing and establishing truth claims as the wholly Divinely inspired and assured Word of God. Thus the veracity of even apostolic oral preaching could be subject to testing by Scripture. (Acts 17:11) For God manifestly made writing His most-reliable means of authoritative preservation. :Now go, write it before them in a table, and note it in a book, that it may be for the time to come for ever and ever." (Isaiah 30:8; cf Exodus 17:14; 34:1,27; Deuteronomy 10:4; 17:18; 27:3,8; 31:24; Joshua 1:8; 2 Chronicles 34:15,18-19, 30-31; Psalm 19:7-11; 102:18; 119; Isaiah 30:8; Jeremiah 30:2; Matthew 4:5-7; 22:29; Luke 24:44,45; John 5:46,47; John 20:31; Acts 17:2,11; 18:28; Revelation 1:1; 20:12, 15; Thus the written word is the assured infallible word of God.