I need a simple circuit that can drive a 12mm piezo-electric beeper at about 3kHz from 2 AA batteries (3v total). This is probably in just about any electronics textbook but my background is software. Waveform doesn’t matter as these buzzers work pretty well even with a square wave.
The key thing is that it needs to be easy for me to assemble, and that it can fit in a small space. I would like to not use a microcontroller as that is likely too big to fit, so a pure analog design is preferred. It may be OK to use a small timer like a 555 though.

I can build it initially on breadboard, but would like to direct solder everything if possible. I have a meter, tools, and scope.

Please provide the layout and parts list in some detail.

I’m not sure until I can test it, but a later version may have to include a photocell trigger so it beeps whenever an LED is on.