Unipolar Hall Effect sensor for cycle detection.

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New to the forum and a reluctant noob to electronics, but determined to figure out a solution to a problem.
I'm attempting to replace a mechanical logic switch arrangement with a combination of two microswitches and a hall effect sensor. One microswitch is a trigger, while the other specifies an outcome. The Hall effect sensor is to provide a momentary output at the the completion of a cycle. The output from the assembly is a simple voltage to trigger a self contained mosfet unit.
I'm a fairly quick study, but these days my head is getting a little full, and this is a whole new sphere for me! Could anyone offer some assistance, please?

Thanks in advance

 

Thanks for replying so quickly.
This is intended for the gearbox in a toy airsoft gun. One microswitch is literally the trigger, while the other is to select a single cycle, or continuous cycles as long as the trigger is applied.
In the first instance only a single cycle will be completed regardless of whether the trigger is applied momentarily or remains applied. If the trigger remains applied then a further cycle cannot happen until the trigger has been reset and then reapplied. In the second case a momentary tap on the trigger will result in a single cycle being completed, but if the trigger remains on then it will continue to cycle until the trigger is released.
The Hall switch is to provide a non contact method of monitoring the cycling of a rotating gear. One rotation = one cycle.
https://www.mouser.co.uk/datasheet/2/115/AH3363Q-1075312.pdf Would be the type of device I'd like to use. A small neodynium magnet secured to the gear would provide the flux.
Input voltage would be between 7 and 15V. Cycle times could be as low as 10ms. Output current would be enough to trigger a 3034 mosfet.
Currently this is achieved with a janky arrangement of springs, levers and a cam.

 

Some of these toy guns fire 60+ rounds per second, so that would take a very quick finger to just fire the one shot! And at some events you are restricted to semi automatic (single shot) only.