Print log output during synthesis

[very-doge-wow]

Description of the feature or enhancement:

It currently doesn't seem possible to receive any logoutput in stdout while synthesizing the app.

Use Case:

I would like to be able to print different log outputs, so I can tell which branches of my code were executed.
We offer a CDK construct library as well which performs different tasks and generates values for the users.
It would be useful to be able to print information about the actions it has performed to the user, as the construct library
abstracts this away from the view of the user.

Proposed Solution:

If the --output flag is not set to print the synthesized output to stdout, provide the messages from console.log, console.warn, etc. through the stdout stream.

Other:

• 👋 I may be able to implement this feature request
• ⚠️ This feature might incur a breaking change

---

This is a 🚀 Feature Request