Based on your idea, and using new function available in Excel 365 which allows for not using dummy columns, but do multi-step calculations in one cell:
You may use such solution in G2 (and copy down):
Note that while formula is rather long, the addres of A2 (source date and time) is used only once, so formula could be easily copied elsewhere and source cell has to be changed only in one place.
Or let's write this formula in more clear way:
So first AEST is calculated,
then first sundays of April and October at 2am (in AEST)
then 1 hour is added to AEST if AEST converted date is "on winter side": before 1st Sun Apr or after 1st Sun Oct, .
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