Mastering SharePoint Classic and Modern Calendars

Hello, in the first example where you use the Calendar App, what web part do you use if you want to add the calendar view to your homepage?

Hi this is great. Is there a way to sync sharepoint list to outlook without going into Classic?

Thanks. How I can do this other way around?
A specific outlook calendar needs to be overlayed on a sharepoint calendar

This has been so helpful, cheers!