I do not see an ON/OFF switch on the buzzer for the dryer in your laundry center. The only way to turn off the buzzer would be to access the wires in the control console and disconnect it from the dryer timer.
NOTE: If you intend to disconnect or remove the dryer buzzer yourself, be sure to unplug the dryer to disconnect electrical power before accessing the control console.
The image below shows the process for accessing and removing the dryer buzzer. If you do not want to remove the buzzer, you can disconnect the wires and tape the ends of the wires with electrical tape the insulate them. Tape the wires out of the way and reassemble the console.
NOTE: Do not attempt this procedure unless you are completely confident in your technical ability to safely complete the process. Internal metal edges in the dryer can be sharp. Protective gloves are recommended.