You said, ignorantly, that St. Paul does not teach purgatory; I however, showed to you where he does, and then gave you authoritative teaching on what purgatory is. The teaching of St. Paul matches the teaching of the Church on the purgatory.
If you wish to drop that topic and instead tell me what the Catechism, in your opinion, says, you need to find someone interested in your thoughts and with time to listen. I have other things to do.
You said that St. Paul taught the doctrine of purgatory
I believe my original response was "Paul taught purgatory?" with the implied question "where?" I was asking for Biblical evidence ... which you graciously provided.
You choose 1 Cor 3; which talks about judgment of works and you used that passage to claim that purgatory is what Paul is talking about. I highlighted at least 5 problems with the interpretation you espouse and you started to address maybe one of them. You made the claim that purgatory is not punishment, but merely some kind of preparation.
Then I showed you in your own catechism where the concept of atonement in purgatory (not merely some preparation) is clearly laid out, and your desire was then to play word games ... claiming that expiation does not mean atonement.
There is no shame in admitting that your religion teaches you are making atonement for your own sins in purgatory ... 1475 clearly teaches that ...
Let me highlight it again for you ... and perhaps you can find another way to explain it.
1475 In the communion of saints, "a perennial link of charity exists between the faithful who have already reached their heavenly home, those who are expiating their sins in purgatory and those who are still pilgrims on earth. between them there is, too, an abundant exchange of all good things." In this wonderful exchange, the holiness of one profits others, well beyond the harm that the sin of one could cause others. Thus recourse to the communion of saints lets the contrite sinner be more promptly and efficaciously purified of the punishments for sin.
So here is the position you are now in ... By holding to the doctrine of purgatory, you are trusting in your own ability (and other saints) to atone for your sins in purgatory. With that position ... you are spitting on the sacrifice of the Son of God ... in fact claiming that you must pay for your own sins in purgatory, with the theological consequence that the atoning work of the Lord of Glory is not enough.
What exactly is your faith and trust in? The atoning work of Jesus Christ ... or the doctrine of the RCC?
If it is Jesus Christ and His work on the cross ... then you must reject the doctrine of purgatory as both unbiblical and contrary to sound doctrine. If it is in the doctrine of the RCC, then you willingly invite eternal consequences for your error ... for to have a misunderstanding concerning the atoning work of Christ demonstrates that you have in fact synthesized a god in the image of the RCC, rather than the God of the Bible. This amounts to idolatry ... and you risk a judgment day pronouncement ... "Depart from Me ... I never knew you"