All of the following statements are true:
Only one card leads to the Safe Zone.
If Card A leads to the Safe Zone, then Card B also leads to the Safe Zone.
If Card C does not lead to the Safe Zone, then Card A leads to the Safe Zone.

If A led to the Safe Zone, then B would also lead there. This contradicts the statement that only one card leads to the Safe Zone.

If C didn’t lead to the Safe Zone, then A would lead to the Safe Zone—but as we saw, this is impossible. So C must be the one that leads to the Safe Zone.

Thank you for your compliance. Your safety is now the facility’s responsibility.