The implementation may be difficult if you have never tried any solution, after which it gets much easier. Realization often requires a critical review of specs. and construction options.
specs
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"output will be a light that pulses 5 times in about 3 seconds (adjustable would be nice) then stays on until power switched off."
LED = TBD or any colour and is normally ON then pulsed OFF after a button push, trigger, or contact closure.
It will switch OFF 5 times in approx. 3 seconds, ie. rate = 4/3 Hz to 6/3 Hz (adjustable rate or duty cycle or both? ?) or something else?
Battery or ACDC supply power options should be given.
You may need more details to decide.