In a matchup between a switch hitter and an ambidextrous pitcher, what is permitted during the at-bat?

When a switch hitter faces an ambidextrous pitcher, the rules state that the batter is allowed to switch batting boxes (sides) at any point before the next pitch without restrictions. However, the ambidextrous pitcher is required to maintain his current throwing position once the batter has chosen which side to hit from.

This means that once the switch hitter commits to a stance, the pitcher must pitch from the same arm throughout the at-bat. Therefore, if the batter chooses to hit from the left side, the pitcher must throw left-handed, and if the batter switches to the right side, the pitcher must throw right-handed. This regulation ensures fairness during the confrontation while also allowing for the strategic element of switching stances by the batter.