Does your partner have a long term visit pss or work pass? Because if so you can apply under the Non-Citizen Spouse Scheme. Unfortunately, this restricts you to 2-room flats in non-mature estates; but it's something.
Alternatively, if you're at least 21 years old, you can buy a resale flat under the same Non-Citizen Spouse Scheme.
Private property has no such restrictions; I'm not sure of your budget, but you could possibly consider some of the smaller condo units.
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