The only time I’ve seen that is when the panel speakers are muted when not in use. However, I haven’t seen that issue in a long time. For a while, there was an issue where the 2GIG speakers would persistently click and buzz due to feedback from the cellular module antenna. We could initiate a command to mute the speaker when it wasn’t actually being used. This would cause it to make a single audible click shortly after the panel made noise.
From what you’ve described, it sounds like someone may have sent over that command before you became a customer of suretyDIY. Unfortunately, it doesn’t appear that we have the capability of changing that on our end anymore. However, if you’d like, I can check with ADC to see if they have the capability to un-mute your speakers. This would have the effect of stopping the panel from making that audible click after it makes noise. You may also run into an issue where the panel is constantly making buzzes and clicks due to feedback from the communication module.