Should people who want to run for public office have a mandatory psychiatric examination?

I ask because mental health problems among politicians are very common and very destructive since the politician can affect a very large number of people when they do inappropriate things. A Mental health examination prior to running for office might be a reasonable thing to do. I think we all know that we have politicians in office right now who very clearly have mental health problems and those mental health problems seriously affect their ability to do their work.
Yes mental health exams
No mental health exams because
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Should people who want to run for public office have a mandatory psychiatric examination?
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