For 45 minutes sustained high lumens, good heat sinking and mass are important, so we're probably talking about a 4x18650. There are a few threads on pop-can lights that usually end up recommending the Q8, Rot66 and D18; older threads recommend the M43, MK34 and the X7. They'll all be in the low-thousands of lumens for 45 minutes.
The real monster lumen grenades of recent years get to tens of thousands and even approach 100K lumens for a short time at well over your budget, and don't sustain that power for long, even with a cooling fan (Acebeam X70, for example, with a cooling fan might be able to sustain >15Klumens for over 45 minutes at $550 and 4 lbs). Think about that, especially when you consider the logarithmic nature of human light perception--my old M43 or the D18 can sustain a couple thousand lumens of warm, high-CRI light for an hour, and you only have to double that lumen rating 3 times (and double the weight 2 times, and double the price 3 times) to get to the X70 cooling-fan-assisted sustained power. Yes, the X70 will look brighter side-by-side; but, I can tell you from many personal experiences, that the difference between 2,500 lumens and 15K lumens won't be mind-blowing. It might be worth making a final decision based not on lumens, but instead on a personal combination off preferences like user interface, color temp, CRI, size, beam shape, and weight. I have an Olight X7vn that makes 22K lumens (~~2K sustained) that I rarely use because I prefer the color temp and UI and size of my old trusty M43 that "only" makes ~4K lumens (~~2K sustained).