Can't add domain to Cloudflare

I work for a municipal government in Quebec, so we have a domain name like this: ville.<our_city>.qc.ca (i.e.: ville.ddo.qc.ca, ville.pointe-claire.qc.ca, etc.) Because of this weird domain name format, Cloudflare detects it as being a subdomain and only allows me to add <our_city>.qc.ca. This isn't possible, as that isn't our domain. Has anyone had a similar type of issue?
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