The CSIRO/AEMO GenCost report has said for years, including during the time of Coalition governments, that wind and solar are the cheapest form of new energy for Australia, even when considering additional integration costs such as energy storage and transmission. Nothing has changed.
On average, public schools certainly get more money, but they enrol the highest-needs kids from the highest-cost families in the highest-cost locations. Anyone can find this out with a couple of mouse clicks on the My School website.