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Working the right type of job can net retirees an overlooked tax break.

There are many good reasons to work at least part time in retirement. Not only does it provide a little extra income, but it keeps you engaged and helps you avoid isolation. But one major benefit of starting a self-employed side hustle is often overlooked. Once you turn 65, you will likely sign up for Medicare, the federal health insurance program for people who are 65 or older or have certain…