I don't think you understand the nature of reality. The structure of reality is fundamentally moral perfection. If you sin, the price of your sin is eternal death relative to moral perfection. Since your moral imperfection earns you eternal death, your metaphor is deeply flawed.
A more accurate metaphor would be, you got caught after murdering a man. At the sentencing, your lawyer tells the judge, "Your honor, this man deserve death, but I will take the punishment in his place so he can walk free." Then mercifully, the judge agrees.
"The wages of sin is death. But the gift of God is eternal life through Jesus Christ our Lord."
Relative to moral perfection, since you have sinned, you deserve death. But God the Father, Jesus, and Holy Spirit set up a deal. Jesus will take upon himself, voluntarily, the eternal death you deserve, and God will make you morally perfect so that you can join God in eternal life.
So the actual choice you have is between eternal death which you deserve because you're not morally perfect, or the free gift of eternal life paid for by Jesus Christ, God, himself, who took the just penalty of your death sentence upon himself, so you can live.
"When we were yet sinners, Christ died for us."
By confessing with your mouth that Jesus is Lord, and believing in your heart that God raised Jesus from the dead, you can be saved and converted from moral imperfection to moral perfection before God, who values you more than your past sins.
This is not coercion. It's a gift of freedom from a loving and extremely merciful God who values you more than his own life.
If you want to pay the price for your moral imperfection, you can. God won't stop you because he values your choice eternally.
But if you want to accept the free gift of salvation from Jesus Christ, God the Father, and the Holy Spirit, to make you a new creation and give you eternal life and righteousness, you can choose to.
This is freedom, and you alone are responsible to make this choice.
You are free to choose.