I am just basing it on what I read and I haven't consulted a lawyer but I am wondering if it can fall underHow is employer eligible for LMIA exemption?
Canadian interests – Charitable work
https://www.canada.ca/en/immigration-refugees-citizenship/corporate/publications-manuals/operational-bulletins-manuals/temporary-residents/foreign-workers/exemption-codes/canadian-interests-charitable-religious-work-r205-exemption-code-c50.html
Employer is registered with CRA as charitable organization.