Its not difficult but complicated.
If you use yust enaugh pressure for the load and speed used, the tire inside gascompound rises to about 60 degr C/ 140 degr F on a ambiënt temperature day of 20 degr C/ 68 degr F.
How long it takes ???? Mayby 15 minutes when driving that speed constantly.
The pressure-rising is related to the temperature rising in tire.
At the bottom I will give a list of degr F temp rise per 1 psi rise .
Assuming measured cold at 70 degrF, but if you use it for 60 degr F cold , it wont give dramatic differences.
Yust for easy calculating by head using pressure from tpms .does not have to be super-acurate.
Now your recomended pressure is for 160 kmph / 99 mph or max technical carspeed given , and fully loaded.
You wrote to drive 45 mph max and not constantly, and probably only driver , so lower load and speed then pressure is needed for.
So it will take longer to get mayby only 40 degr C / 104 degr F in tire , with the pressure-rising belonging to that.
Here the list.
then you see that between 35 and 42 psi , you can use the often given 1 psi per 10 degr F.
70degrF./degrF/psi
20 psi/ 15,5F/psi
21 psi/ 15F/psi
22 psi/ 14,5F/psi
23 psi/ 14 F/psi
24 psi/ 13,5F/psi
25 psi/ 13,5F/psi
26 psi/ 13 F/psi
27 psi/ 12,5 F/psi
28 psi/ 12,5 F/psi
29 psi/ 12 F/psi
30 psi/ 12 F/psi
3 1psi/ 11,5 F/psi
32 psi/ 11,5 F/psi
33 psi/ 11 F/psi
34 psi/ 11 F/psi
35 psi/ 10,5 F/psi
36 psi/ 10,5 F/psi
37 psi/ 10 F/psi
39 psi/ 10 F/ps
40 psi/ 9,5 F/psi
42 psi/ 9,5 F/psi
43 psi/ 9 F/psi
45 psi/ 9 F/psi
46 psi/ 8,5 F/psi
49 psi/ 8,5 F/psi
50 psi/ 8 F/psi
53 psi/ 8 F/psi
54 psi/ 7,5 F/psi
58 psi/ 7,5 F/psi
59 psi/ 7 F/psi
63 psi/ 7 F/psi
64 psi/ 6,5 F/psi
70 psi/ 6,5 F/psi
71 psi/ 6 F/psi
77 psi/ 6 F/psi