Get Outbound Whats app Messages into own system

Hey Community,
we want to show Outbound Whats app messages we sent in an internally built tool (for our service team) for and have not found a good solution how to get this information from Braze. The information we get using Meta webhooks is only the status of the message. We want to get template name and body of the message.

The only solution we see right now is, when we trigger a whats app message in a canvas to also trigger a webhook and parse the message template into one field for the webhook (not ideal as it is very error-prone and will not include the personalization). 

Is there any good way to get the Oubound message template name and body text from Braze?