You are wrong. It was a fallacious argument based on the appeal to tradition.
You cannot support apostolic succession from the scripture. It's just not there
It absolutely is there. Paul consecrated bishops and then instructed them how to consecrate new bishops themselves, and instructed them to instruct new bishops, to consecrate new bishops too. That's right in Scripture.
Keep in mind that Apostolic succession is defined right in the OP in the third sentence: " Apostolic succession is the line of bishops stretching back to the apostles." That's all it is, and that is why " Apostolic Succession was always recognized by the early church" is not an argument or a fallacy, but just a fact of history, just like Christ's Resurrection is a fact of history.
Judas Iscariot was replaced for obvious and scriptural reasons.
James was NOT replaced.
It's just that simple
Your RCC doctrine is FALSE and you should run from it like the plague.
So, you're talking about Apostolic 'replacement' not succession. Nobody's talking about Apostolic replacement, nobody believes in that ---- well: except for some 'charismatic' Protestant traditions. In fact Protestants are the only Christians who believe in anything like Apostolic replacement. Certainly no Catholics and no Orthodox.
Bishops don't
replace the Apostles but they do hold the office that all the Apostles instituted; Paul wrote 1st & 2nd Timothy and Titus to two men that he had consecrated as bishops himself.
The teaching authority in the Church is first and foremost Christ, and then He gave His authority to the Apostles, so they are the final word on every matter; bishops don't have the authority to overrule anything which is Apostolic.
You are NOT Israel and neither is your "church".
Shrug.