I accept that some people are righteous at the time of their death, like Abraham and like the Good Thief, and some people aren’t. The latter may, even though not all, be purified by the grace of Christ in Purgatory. This is why what happened to Abraham has nothing to do with the existence of purgatory.
You have NOT read and UNDERSTOOD Romans 4. “Righteous at the time of their death”? The chapter explains how one is GIVEN the righteousness of God through faith in Christ...NOW. There is no lack needing to be cleansed in “purgatory”. You have the righteousness of Christ CREDITED to you through faith. Why won’t you accept this?
OK. So how are they made righteous?