TwilioStudio - How to integrate my flow into an external platform?

I finally managed to finish my IVR. A question arose, is it possible to integrate my Twilio flow into a Service Center platform? I saw that there is the possibility of using Twilio Flex, however, since we already have a center, it would be interesting for the flow to receive the calls and then forward them to our center. Is there any possibility of doing this?

Forwarding a call with a Studio Flow is easy to do. Here is an example...

Just add the connect call widget. The key here is to use "{{contact.channel.address}}" in the Caller ID box so that the call appears to come from the original caller.