Exclude System Generated Messages in Chat Transcript

We'd like to have all of the system generated messages excluded from chat transcripts. If a customer is waiting for an agent to become available for a while they will see several rounds of "please hold" and "your next in line" type messaging. While the customers is waiting it's helpful to see informative messaging but when in the chat transcript it adds extra 'clutter'.

Here is an example of the system messages that I'm referring to that we'd like excluded from chat transcripts:

System - I am looking for a representative to chat with you. While you are waiting, could you tell me how we can help you today?

System - You are the first customer in the queue.

System - Please wait for the next available agent.

System - You are the first customer in the queue.

System - Please wait for the next available agent.

System - You are the first customer in the queue.

System - Please wait for the next available agent.

System - You are the first customer in the queue.

System - Please wait for the next available agent.