“And I say also unto thee, That thou art Peter, and upon this rock I will build my church; and the gates of hell shall not prevail against it. And I will give unto thee the keys of the kingdom of heaven: and whatsoever thou shalt bind on earth shall be bound in heaven: and whatsoever thou shalt loose on earth shall be loosed in heaven. “
Frankly, your claim is ridiculous - on multiple levels. I’ll set those aside.
The verse you posted says nothing about “apostolic succession.”
This concept is not found in Scripture. The passage about the replacement for Judas is the only place in Scripture where a pattern for choosing a replacement is found. No one alive today meets that criteria.
You already conceded apostolic succession when Peter set the first election and the first group of disciples voted for Matthias. I pointed out that Peter had the keys to the kingdom of heaven and the power of binding and loosing so he had the authority to appoint other successors. Before the LORD Jesus ascended to heaven he left Peter and his fellow apostles with all the authority they required. They had the authority to choose other men (Matthias is the example) upon which to bestow that authority, and to set the rules by which they would choose them (Matthias is the example). The Scriptures need not list every man which they ordained to the ministry. There is a succession of men who have been ordained by the laying on of hands from the first apostles, generation to generation. Even if some were bad (Judas, for example) there were others who could be elected to replace them. One may think everything ended and changed with the deaths of Peter, Paul (who was not even counted with the Twelve and he was an Apostle) or John, but that is not written in Scripture either.