Probably both. Don't use it for personal purchases. But, If you do use it for personal purchases, you are liable for the charge and any interest/penalties that arise. Standard language for any "issued" card, whether it be company or govt...
Our Gov issued cards allowed personal purchases while on TAD but limited us to a specific dollar amount on the card. The NM Gov card rules say 'prohibited' for personal use. To have a caveat for personal use annuls the prohibition.
If you are on government business, you should use it for government-related purchases only. Travel, hotel, meals, business related essentials. I carried a business card and only made purchases I know I could defend if the IRS came auditing me for my business interest deduction. It’s not hard at all to know which is which, so anything else is fraud.