408 degrees is way too hot and indicates a problem with heat transfer.
Normally, about 84% of the 333,000 btu/hr transfers to the water and the rest goes out the exhaust, which should be about 308 degrees.
Your exhaust is about 100 degrees too hot, which I estimate is about 27,000 btu/hr extra waste heat. So, that implies an efficiency of about 76% vs. 84%.
Even at 76% efficiency, the water should gain about 2.75 degrees per hour.
I would estimate the flow rate at about 70 gpm, which should give you a temperature rise of about 8 degrees from inlet to outlet at 84% efficiency.
You can put a temperature sensor on the pipe going to the heater and coming from the heater to see the temperature rise.
The high exhaust temperature might be due to a bad internal bypass or maybe a scaled heat exchanger.
Verify the internal bypass by looking in the inlet to see the spring part of the bypass and by looking in the hole where the thermal regulator goes to see the disc part.
You can push down the plunger from the inlet side and you should be able to see the disc moving in the hole where the thermal regulator goes.
The heater should be using about 3.64 gallons of propane per hour. At 11 hours, that's 40 gallons.
You seem to be getting about 1 degree per hour, which is substantially less than expected.
If the pool is uncovered, you can lose a substantial amount of heat. So, take that into consideration.