A Brooklyn judge was baffled yesterday when a mother who dumped her newborn down a garbage chute said she is looking for work as a home health aide.

Laquasia Wright must hold down a job as part of a deal in which she pleaded guilty to endangering the welfare of a child — but Justice Patricia DiMango was stumped by her career choice.

“That’s probably the least appropriate job for her,” DiMango told Wright and her lawyer. “It defies logic. I don’t think it’s the best choice.”

Wright was 18 when she was charged last year with trying to kill her baby boy by tossing him out with the trash at a Fort Greene housing project.

A worker at the Walt Whitman Houses heard the baby’s cries and fished the boy out of the bottom of a trash compactor in May 2011.

As part of the plea, Wright must be on probation for five years, keep a job and earn her general- equivalency degree.

“She is getting help with a family member,” said defense lawyer John Rodriguez.

“We’re making every effort to help and rehabilitate her — none of us took this conclusion lightly.”

Prosecutors gave her the offer, DiMango said, because she is “somebody they think is worth saving or can be saved.”

If Wright doesn’t stick to the deal, she risks up to seven years in prison.

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