Welcome to the Q&A Forum

Yes, adding both www and non-www to Google Search Console is absolutely best practice to ensure you aren't presenting duplicate content. It's also the first recommended step in your check list after you've verified your property within GSC (which suggests it's pretty important). Here's what Google say about this: You may need to verify ownership of both the www and non-www versions of your domain. Because setting a preferred domain impacts both crawling and indexing, we need to ensure that you own both versions. Typically, both versions point to the same physical location, but this is not always the case. Generally, once you have verified one version of the domain, we can easily verify the other using the original verification method. However, if you've removed the file, meta tag, or DNS record, you'll need to repeat the verification steps. Note: Once you've set your preferred domain, you may want to use a 301 redirect to redirect traffic from your non-preferred domain, so that other search engines and visitors know which version you prefer. I hope that helps.

Love the detailed response. Thank you so much.