If the rimms are rated for the higher loadrange , you can find on the inside. The given pressure is cold pressure and rising pressure by rising temperature in tire is taken into account.
So you have to take it from the car to read it .
Mayby the spare is the same rimm and then you can more easyly take that .
The conclusion I took is that LT tires are more stable because they need higher pressure to give the tire the same deflection. this higher pressure makes the sidewalls stiffer so lesser sway
If you give the P-tire the same pressure, the deflection gets less so more bumping, and more nervous driving.
P tires are allowed to bare the maximum load up to max speed of tire ( or if lower 99m/h) AT 35 psi cold ( USA system) , the 44 psi is the maximum allowed cold pressure , and is used for higher speed and camber angle above 2 degrees, but can be used for road handling and expected overload ( for that the tire makers dont support that higher load , but laws of nature do).
Unless you find Extraload/reinforced/XL on sidewall then its and XL and they need 42 psi for the same maximum load and conditions as given above.