Is a bagpipe brass or woodwind instrument?

The bagpipe is neither a brass nor a woodwind instrument. It is an aerophone or air-driven musical instrument that uses a constant airflow from a reservoir (the bag) to produce sound through reeds in one or more pipe(s). The sound is produced by the vibration of the reed as the air passing through them sets up vibration and produces music.

Therefore the bagpipe is classified as an aerophone instrument.