2 Peter 3:9: “The Lord is not slack concerning His promise, as some men count slackness; but is long suffering to us-ward, not willing that any should perish, but that all should come to repentance.”
1 Timothy 2:3-4 For this [is] good and acceptable in the sight of God our Savior, who desires all men to be saved and to come to the knowledge of the truth.
So what here Jesus last words to his disciples? “We have already picked who are in and who is out and there isn't anything that is going to change that” or Matt 28: 18-20 Then Jesus came to them and said, “All authority in heaven and on earth has been given to me. 19 Therefore go and make disciples of all nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit, 20 and teaching them to obey everything I have commanded you. And surely I am with you always, to the very end of the age.”
Calvinist (reformed) doctrine acknowledges ALL scripture.
Christ did indeed die for all. HOWEVER the knowledge of Him is given by the Father. Remember when Jesus asked his desciples “who do you say I am?” and Peter said “you are the Christ, the Son of the Living God”? Then Jesus says “blessed are you, Peter, for this knowledge was not given to you by man, but by my father in heaven”.
Also let me ask you what “choice” the Pharaoh had during the exodus. God “hardened” his heart. BTW Paul also addresses this very thing in Romans 9.
We are “dead” in our trespasses and slaves to our own sin. What freedom does a dead man/slave have? All of us deserve punishment, but some are set free. That is the point when “free will” comes into existence.
And this does not nullify the great commission. Picture Christians as workers in the field. They sow seeds without knowledge of which seeds will grow and which won’t. God takes it from there! The great commission is our act of obedience and worship rather than an effort to save. Only God saves.