Exemptions in Saskatchewan tend to be use-based rather than location-based. The City of Saskatoon exempts categories like registered charitable and nonprofit property from municipal tax, and those rules apply the same whether the property sits in Briarwood or anywhere else in the city, not to a specific neighbourhood by name.
If you own a Briarwood home and are looking for tax relief, the Saskatchewan Assessment Management Agency's public assessment roll and the Board of Revision appeal process are the real tools available, checking the recorded facts about your property rather than searching for a named program that does not apply here.
For a Briarwood seller, the number that actually drives your outcome is market value, which a tax exemption search will not tell you. Get your hand-reviewed valuation from Joel Dyck.