For anyone interested: you can apply for a culinary (cooking degree) at Torrens University, Sydney campus.
While some of their courses are in Adelaide, their culinary cooking degree is taught on their Sydney campus.
Bachelor degree of Culinary Management - 3 years full time.
Associate degree of Culinary Management. Full time and part time in Sydney.
Their website URL is
https://www.torrens.edu.au/courses/hospitality/bachelor-of-culinary-management