[Feature Request] Verbose mode option for longer running operations

[LukaData]

Currently, long-running operations such as sample posterior (mmm.sample_posterior()) and budget optimizing (budget_optimizer.optimize()) can take a significant amount of time. An option to have some visibility in the progress would be highly beneficial, especially in the testing phases to better adjust development expectations, parameters, and infrastructure that we run on.

Proposed solution: A parameter to turn on verbose mode with iteration progress or completion percentage checkpoint prints to provide regular updates for longer-running operations.

[yeonjaepark]

Thank you for your feedback! We'll take your suggestion into consideration.