Despite the title, you don't actually have to die to earn the trophy 'Curiosity Killed the Cat.' This should come very easily and may even be one you stumble upon whilst you are exploring the world of Stray.
This is the paper bag you are looking for!
The earliest you can grab this little bronze trophy is in Chapter 4: The Slums. There are multiple paper bags scattered throughout the zone. When the cutscene ends after The Guardian lets everyone know you aren't a threat, you can head to your left down some stairs. You should see a robot with a guitar sitting on the ground, just near him is a bag you can wear by pressing the triangle button. Once you do this the trophy is yours!
Enjoy the inverted controls for 30 seconds while your feline friend has a mini panic attack.