I have heard the word “stat” a lot in movies and series, and I guessed from the context that it means “ASAP”. I was right:

The term “stat” is derived from the Latin word “statim,” which means “instantly” or “immediately.” It is primarily used as a directive to medical personnel during emergency situations, indicating that a particular task must be completed without delay.

Source: https://medicalschoolexpert.co.uk/what-does-stat-mean/