AC Power Loss Alarm

I’ve been having a problem with my instant hot water system lately.  This system circulates electrically heated water throughout my house using a small pump.  The pump is wired into a ground fault interrupter (GFI) module.  Every now and then, the GFI trips, leaving me without hot water.  What I need is an alarm to tell me when AC power on that outlet has been turned off by the GFI.  I figured a 9v battery powered loud chirping beeper would be the ticket for this kind of alarm. The chirping sound would draw my attention and let me know that I need to reset the GFI switch, without waking the whole neighborhood.  as circuit is shown below.

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