” Paul’s writings became scripture per Peter.”
No, Paul’s writings were scripture because of where they came from (God) not because of Peter. Peter recognized they were scripture. The Jewish Bereans would not - until converted - believe Paul’s writings were scripture. And Paul had written very little at that point any way.
You can see this for yourself. Look at the left column here for Acts 17. Look at the middle column for “Galatians”: http://www.blueletterbible.org/study/paul/timeline.cfm I know timelines can differ because it’s largely guess work, but the idea is simple to understand. Paul wrote little or nothing before he dealt with the Bereans. He was explaining the Old Testament prophecies to them and they were checking the books (and their traditions about them as well since there were many) to see if he was right.
Of course! Now you’re getting it. Just like we have scripture today because God gave them to us and not the Catholics. God can use anyone, even people who are in error or outright evil like Herrod or Judas. God did use Balaam’s donkey also didn’t He.
>> (and their traditions about them as well since there were many)<<
Nice try at “adding to scripture” but it doesn’t work. It does NOT say “searched the scriptures (and their traditions about them) daily”. See how Catholics always have to add things to make their beliefs work?
They just can't stand on God's word alone can they? It's a shame really.