Why did you choose this “heat” lamp instead of another light?
I can see you have the light in a reflector and the bulb itself is a “reflector” type bulb, which is probably part of the reason Latewood asked if it was an incandescent flood light.
Do you know what the filament in the light is?
Does the light give a color temperature rating? It looks like maybe 5500K, pretty pure white and not more red like a “warm white” house light that would be color rated around 2700K. Smaller K numbers usually mean redder light and higher number mean blue-er light. Traditional practice is to give cannabis more blue light during the vegetative growth period and then give it redder light during the bloom flowering period towards the end.
Again, heat, IR or otherwise is not very important to the plant, it isn’t very photosynthetic active, you don’t necessarily need or want a lot of it in your light. It can be used by the plant, or at least some frequencies of IR are slighty contributors to the photosynthetic process, but 2 specific frequencies of blue light and 2 of red are most important and most photsynthetically active.
You would do much better with a actual 250 watts driving a CFL or MH in that space. A 3x3ft space needs about 50 watts per square foot with HID, maybe slightly less with fluorescent, and then even slightly less with a good LED.
3x3=9sq. ft. 9x50=450 watts, this is how many watts you would need with a HID light for your space, ideally, and if you can control the heat build up in that area. You can make do with less light and growing a smaller plant in that area.