Thanks for the comprehensive answer and the foresight on the next step. Adding the 'body' launch parameter got the pay load from Twilio. It was indeed base64 so the Wrk Action to convert it to text was needed.
With this I managed to get messages, SMS, and calls sent to a Twilio phone number to the Wrkflow, where I can send it to wherever I want including Slack.
p.s: Twilio has its own http request that can technically send those to Slack for example, but it's limited and uses deprecated methods to connect to Slack in this case. I get to use OAuth to connect to Slack, which is great.