Justification comes before reconciliation, and justification is by faith.
Romans 5:1-2 (WEB) Being therefore justified by faith, we have peace [reconciliation] with God through our Lord Jesus Christ; 2 through whom we also have our access by faith into this grace in which we stand. We rejoice in hope of the glory of God.
"We," the believers put our faith in Lord Jesus while we [believers] were still dead in sin [enemies of God by sin]. However, at the moment when we first believed [past tense], we [the believing sinners] were [past tense] justified and reconciled [past tense] to God by the Death of His Son.
Romans 5:10 For if, when we [believers] were enemies [separated from God by sin], we [believers] were reconciled [past tense] to God by the death of his Son, much more, being reconciled, we [believers] shall be [future] saved by his life.
We [believers] were [past tense] dead in sin but were [past tense] made spiritually alive at the moment we believed - not so we can believe.
John 5:24 (WEB) 24 “Most certainly I tell you, he who hears my word and believes him who sent me has eternal life, and doesn’t come into judgment, but has passed out of death into life.
The dead in sin receive LIFE in the Son by Faith - not so they can believe.
John 20:31 (WEB) But these are written, that you may believe that Jesus is the Christ, the Son of God, and that believing you may have {{{life}}} in his name
The believing sinners are granted eternal life at the moment they believed because of the sacrificial death of God's Son.
John 3:16 (WEB) 16 For God so loved the world, that he gave his one and only Son, that whoever believes in him should not perish, but have eternal life
The Power of the Gospel unto Justification, Salvation, and Reconciliation all happens when the dead in sin person puts his faith in Lord Jesus. At the moment we believed [past tense], we were [past tense] justified, reconciled, and saved by the blood of Christ.
Romans 1:16 (WEB) 16 For I am not ashamed of the Gospel of Christ, because it is the power of God for salvation for everyone who believes, for the Jew first, and also for the Greek.