So, I curiously went to that site on all my other browsers and NONE used TLS 1.3. Then I tested Basilisk (and the other browsers) at:
https://tls13.crypto.mozilla.org/
NO browser (including Basilisk) worked at Mozilla's test site. I've read that it uses draft 28. So, I am curious which draft version Basilisk uses. But since SSLabs says the site (caregiver.org) I went to on Basilisk uses draft 28, seems to me Basilisk should successfully complete the Mozilla test but it doesn't.
Whatever, I am really pleased to see Basilisk supporting TLS 1.3!

