I’m gonna mostly copy paste my answer from another question I answered:

What will happen is the judge would give a slap on the wrist sentence like a fine and call it a day.

Because the alternative is the judge giving a prison sentence and then the president goes “The NY Courts have made their decision, now let them enforce it” essentially creating a State vs Federal government political crisis.

Spoilers, the Federal government wins.

What if NY gonna do, send agents to somehow get past the SS to arrest the president?

If that was even attempted, the president would invoke insurrection act and arrest the governor/judge/ whoever gave the order for the arrest and flip the narrative, claiming the state officials are attempting a coup.