Hi Logan,
I think that the gain of the mic preamp is so high that its wiring would pickup mains hum if it was on a breadboard.
Your CD4069 IC was faulty or the breadboard was faulty because when you grounded the inverter's input pin 1, its output pin 2 stayed low instead of going high which would turn off the beeper.
When that is fixed then the DC voltages should be near what I marked on the schematic with pin 2 high because R8 would keep pin 1 low enough for pin 2 to be high.
Then you can try different resistors in the R4-R5 attenuator but a 100k trimpot would be much easier to adjust, with the original wrong value for C3 removed. With the attenuator set correctly, the beeper should beep for a few seconds when you make sound at the mic.
Then you can add a correct value for the C3 lowpass filter which would be about 180pF for a cutoff frequency of 2.7kHz. The dropping high frequency response of the mic preamp would reduce the cutoff frequency further.
Then a value for the highpass filter must be selected for C2 so that it matches the resistors in the circuit.
Then the attenuator can be adjusted for the sensitivity you want.
I have added a 100k trimpot as the attenuator and corrected the wiring of C2:
View attachment 38490