It looks like the spec is 43gph so only 2.72gpm.
40psi isnt really enough pressure for TAG, ideally you want at least 4-5bar (~60-75psi)
Buy a diaphragm pump and an external pressure switch, set the switch to cut-in at 70psi and cutout to 90psi.
Hook that upto an accumulator tank with the air pressure set to 68psi.
Use a cycle timer to fire up a solenoid (3 seconds on and 3 minutes off). Depending on how many mist heads you run,and the size of the tank, the pump will run for a few minutes every hour to recharge the accumulator.
The mist heads fire up with 70-90psi of instant water pressure to drive them.
Using the pump without the accumulator/solenoid will result in the pressure ramping up as the pump gets up to speed and ramping down again as it slows down so you won`t get a uniform droplet size.
Your pump won`t last long if you cycle it on and off 20-30 times an hour, if you run it for 5 minutes per hour it will last a lot longer.
Its no surprise that the majority of pump failures in TAG systems are from those that pump directly to the mist heads using short cycle timings.