After the PCB board is taken loose from the housing, we see that we have two wires attaching a small speaker to the housing,

The speaker is easily removed with a thin pry tool slipped into the speaker cavity or, a lesser preferred method that I used, grab the two wires close to the speaker and carefully but firmly lift the front edge of the speaker upwards to get the initial adhesive to release. At that point you can grab the speaker and pull it out from the cavity.