“Well... I don’t know any Methodists, Lutherans or Presbyterians who recognize “pope” as an office of the church”
I do. There was a small Lutheran synod that recognized the pope but didn’t actually follow him. Rather strange, but it shows just how theologically divergent Protestant sects are.
“- but more importantly, neither does the Apostle Paul in his list of church offices.”
Actually he listed “apostles”. That’s what Peter was, an Apostle. The successor to the Apostles were bishops.
Apostles are an office that existed at one time, forming the foundation of the church, as the Apostle Paul wrote in Ephesians...
"Together, we are his house, built on the foundation of the apostles and the prophets. And the cornerstone is Christ Jesus himself."
However, we are discussing "pope" not being an office of the church. It never appears an as office under any name, including "pope."
There are also gifts given to the church, but none of them are popes either. "The successor to the Apostles were bishops."
Sorry, your choices are these:
Elder
Deacon
Qualifications are laid out in Scripture, as are responsibilities.
We find several Greek words used to describe functions of Elders.
We find no bishops, archbishops, popes, grand pubas, etc. We also find no Apostolic succession.