Lefty Gen-Z Brooklyn Councilman Chi Ossé has filed papers to run for Congress in a bid to topple House Minority Leader Hakeem Jeffries.

Insurgent Osse took the first major step in a primary bid to run for the 8th House District against Jeffries, a Brooklyn Democrat, by registering a “Chi Osse for Congress” campaign committee with the Federal Elections Commission, records show.

Jeffries, a former state assemblyman first elected to the House in 2013 — and who could be the next House Speaker if Democrats regain the majority in next year’s midterms — will garner most if not all of the Democratic Party’s institutional support in a primary challenge from Osse.

Councilmember Chi Ossé is challenging Hakeem Jeffries in Congress. J.C. Rice

And as The Post recently reported , democratic s

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