beta.arkansas.gov is an alias of cwebserv.ark.org, which has no IPv6 beta.arkansas.gov is a CNAME, so it can't also have its own AAAA record. Ask whoever runs cwebserv.ark.org to enable IPv6 there — or replace the alias with the A and AAAA records they give you. Why some hosts don't offer IPv6
Add IPv6 for www.beta.arkansas.gov www.beta.arkansas.gov has no AAAA record. Get www's IPv6 address from whoever hosts www and add it as an AAAA record. If the same server already serves both names (and its certificate covers www), you can reuse beta.arkansas.gov's AAAA record(s) for www. How to add an AAAA record
Mail servers without IPv6 Your domain's mail goes to its own address, which has no AAAA record.
Nameservers without IPv6 dns2.state.ar.us, dns5.state.ar.us, dns4.state.ar.us, dns3.state.ar.us, dns1.state.ar.us all have no AAAA record, so a resolver that only speaks IPv6 can't look your domain up. Most DNS providers offer IPv6 nameservers; ask yours, or move DNS to one that does.
Visitors on IPv6-only networks (many mobile carriers) can still reach it, but only through a translator their carrier runs (NAT64). The site itself has no IPv6 address — and you can't make one up from the IPv4. Why some hosts don't offer it
Copy the evidence— a citation-ready record of this measurement