And yet businesses seem to have no trouble paying for multiple accounts. I’m sure OP could register as a business or even recruit a friend to pay for an account on his behalf. I don’t think Anthropic cares as long as you’re paying them for the two accounts…
Business plans usually require a 5 seat minimum, charge per seat, and have different pricing levels - but yeah, nothing stops you from registering an LLC. Namecheap is even running a special: Buy a domain name and get an LLC for free: https://www.namecheap.com/apps/business-starter-kit/
(not affiliated, I was just very surprised when they tried to upsell me last time I renewed my domain :))