Early voting in the Big Apple kicked off Saturday with New Yorkers beginning the process of deciding the city’s next mayor ahead of the Nov. 4 general election — and whether the so-called “capital of capitalism” should be led by a socialist.

Lefty Queens Assemblyman Zohran Mamdani, the Democratic nominee and an avowed socialist, is the presumptive favorite to replace Mayor Adams, oversee the city’s $115 billion budget and nearly 300,000-member workforce.

Helping his cause: ex-Gov. Andrew Cuomo, a Dem running as an independent, and Republican Curtis Sliwa, who are expected to split votes among moderates and conservatives.

Adams, a centrist Democrat, suspended his sagging re-election campaign last month as fundraising lagged following a federal probe, even though he was cleared of corru

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