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Immediately following this, Acts 2 says that when the day of Pentecost was fully come, they were ALL with one accord in one place. And cloven tongues like as of fire sat upon EACH of them. And they were ALL filled with the Holy Ghost, and began to speak with other tongues, as the Spirit gave them utterance. Act 2:14 tells us that this ALL included 12 apostles; Peter, standing up with the eleven.
This appears to be a fairly conclusive case that the choice of Matthias was valid. Can you present a more conclusive case that this choice was invalid

You left this out ...Acts 1:14 They all met together and were constantly united in prayer, along with Mary the mother of Jesus, several other women, and the brothers of Jesus.

Being in the upper room did not make one an apostle

WHO WERE ALL GATHERED IN ONE PLACE??? WHO were all filled with the Holy Spirit ??

Luke says that 120 of Jesus’ disciples had been meeting together in an upper room during the time between his ascension into heaven and the day of Pentecost. ...and yes the the mother of Jesus and the other women.. guess she needed the holy spirit too..

Paul was ordained of God to be the primary teacher of the new church ...

WHO WERE ALL GATHERED IN ONE PLACE??? WHO were all filled with the Holy Spirit ??

Scripture does not tell us who were all filled with the Holy Spirit. Scripture does tell us that Matthias was numbered with the eleven apostles and then tells us that Peter stood up with the eleven.

I agree that Paul was ordained by God to be the primary teacher of the new church. But I do not see where it says anywhere in Scripture that God chose Paul as a replacement for Judas. Paul’s role was different than that of the 12.