NO. It’s not a business! Business can only be done in the public commercial system. It’s a private society, a private unincorporated membership/contract association. The one entity that deals in the public, not the private, is a public unincorporated association – the Private Association that is created for bank accounts and any other public contract, such as phone plans, utilities, rentals, etc. For asset protection, we can set up additional PAs to hold legal titles.
NEVER use the term "business"; instead use the terms private (mission) society, private (membership) association, and/or private association. Do NOT use the terms "invoice" or "bill"; instead you can send out a "statement of account". Do NOT use the term "payment"; use "donation" or "funds" instead.