I agree with Susan & Robert.
Further, Sec 555(1)(f)(i) deals with a playground that belongs to & is used in connection with a school.
I’m sure some much clever than me would pick that up & draw the analogy between that bit of the legislation & the church car park which is across the road.
You may want to talk to Liverpool as I seem to remember a similar situation there, when I was there 20+ years ago – Catholic Church in Casula possibly – although given the development around that area it’s probably been sold off for housing by now.