The haze in the air is likely HCl vapor, it very volatile, and very soluble in water in the air, and forms in the air a mist of HCl in water. You'll also get the white smoky haze of ammonium chloride crystals in the air from ammonia and HCl, but you should have noticed the ammonia first.
Funny thing about aluminum and HCl, the product, aluminum chloride, isn't stable in water, so breaks down, releasing CL2 gas, which attacks free aluminum, and generates heat, which evaporates HCl vapor, which attacks free aluminum to make aluminum chloride, which breaks down in water, and so on.
None of this is good to breathe. Your biggest problem from mild exposure is conjunctivitis, an inflammation of the cornea. You'll know it when your eyeball won't fit under the eyelid anymore. Massive inhalation of strong acid is likewise, pretty obvious once it's effects strike. You'll know if you can breathe, or not. Try to use more ventilation next time.
Oh, P.S. masonry cleaner is roughly 35% HCl, that's about as strong as HCl in water can get, and be shipped and stored easily by the hardware store. Only labs or industry can get stronger, and they usually don't bother.