Yeshua/Christ-Jesus exemplified the Spirit of the Law that gives life when the corrupt tried to stone the alleged adulterous woman based mainly on the Letter of the Law which kills.

You show that you are a letter from Christ, delivered by us, written not with ink but with the Spirit of the living God, not on tablets of stone but on tablets of human hearts. Such is the confidence and steadfast reliance and absolute trust that we have through Christ toward God.
2 Corinthians 3:3 – 4 AMP
https://bible.com/bible/1588/2co.3.3-4.AMP

He has qualified us [making us sufficient] as ministers of a new covenant [of salvation through Christ], not of the letter [of a written code] but of the Spirit; for the letter [of the Law] kills [by revealing sin and demanding obedience], but the Spirit gives life.
2 Corinthians 3:6 AMP
https://bible.com/bible/1588/2co.3.6.AMP

The corrupt do NOT comprehend the Spirit of Truth/Logos/Law, instead they do their worst to twist, contort, and pervert the letter of the Law to unfairly and unjustly punish people.

Yeshua/Christ-Jesus knowing the Spirit and the Letter of the Law, challenged the corrupt because the corrupt only brought the alleged adulterous woman without also bringing the adulterous man, based only on the letter of the Law the people are supposed to bring both the man and the woman together so as to punish both.

Early in the morning He came back into the temple [court], and all the people were coming to Him. He sat down and began teaching them. Now the scribes and Pharisees brought a woman who had been caught in adultery. They made her stand in the center of the court, and they said to Him, “Teacher, this woman has been caught in the very act of adultery.
John 8:2 – 4 AMP
https://bible.com/bible/1588/jhn.8.2-4.AMP

Now in the Law Moses commanded us to stone such women [to death]. So what do You say [to do with her—what is Your sentence]?” They said this to test Him, hoping that they would have grounds for accusing Him. But Jesus stooped down and began writing on the ground with His finger. However, when they persisted in questioning Him, He straightened up and said, “He who is without [any] sin among you, let him be the first to throw a stone at her.”
John 8:5 – 7 AMP
https://bible.com/bible/1588/jhn.8.5-7.AMP

Then He stooped down again and started writing on the ground.
John 8:8 AMP
https://bible.com/bible/1588/jhn.8.8.AMP

I discern that Yeshua/Christ-Jesus more than likely started writing with his finger the following scriptures from what we now call the old testament:

“If a man is intimate with a woman who is another man’s wife, they shall both be put to death, the man who lay with the woman, and the woman. So you shall remove the evil from Israel.
Deuteronomy 22:22 AMP
https://bible.com/bible/1588/deu.22.22.AMP

Go and learn what this [Scripture] means: ‘I desire compassion [for those in distress], and not [animal] sacrifice,’ for I did not come to call [to repentance] the [self-proclaimed] righteous [who see no need to change], but sinners [those who recognize their sin and actively seek forgiveness].”
Matthew 9:13 AMP
https://bible.com/bible/1588/mat.9.13.AMP

For I desired mercy, and not sacrifice; and the knowledge of God more than burnt offerings.
Hosea 6:6 KJV
https://bible.com/bible/1/hos.6.6.KJV

They listened [to His reply], and they began to go out one by one, starting with the oldest ones, until He was left alone, with the woman [standing there before Him] in the center of the court. Straightening up, Jesus said to her, “Woman, where are they? Did no one condemn you?” She answered, “No one, Lord!” And Jesus said, “I do not condemn you either. Go. From now on sin no more.”]
John 8:9 – 11 AMP
https://bible.com/bible/1588/jhn.8.9-11.AMP

To Sin Simply Means to Miss the Mark/Target.