I’m not going to argue with you because you clearly know more than we do.
I will, however, point out the word “trinity” isn’t in the Bible either, but it’s clearly taught implicitly, much as “sola fide.”
I’ll post the following link for anyone else who isn’t certain he understands the gospel.
Show me where Faith Alone is taught in Scripture
There are many places where The Father, The Son and the Holy Spirit are mentioned in Scripture.
NOWHERE in Scripture is Faith Alone mentioned, EXCEPT "Not By Faith Alone"
It could not be more clear.
I suggest you read a book by Robert Sungenis, "Not by Faith Alone" It is a very long read