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You cannot deduct taxes that have not been billed yet but if the 2023 tax bill comes out in 2022 and you pay the 2023 taxes in 2022 then they are deductible on the 2022 tax return. And if you paid the 2022 tax bill in 2022 you would have 2 tax bills to report on the 2022 return. But you cannot simply overpay the RE taxes just to force a deduction before the bill has been issued.
I'm in California too. When I get the bill I pay both parts (Nov & April). A long time ago when I could itemize deductions I would alternate and pay 3 payments (April, Nov & April) in one year and then the next year have less to pay and deduct. So I would get a bigger deduction every other year.