How can I convert a shapefile boundaries to lat and lon?

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I have a shapefile of counties subdivisions (Paraná State, Brazil) and I would like to extract an array of bounding lat and lon for each division. Is it possible to do?
In this example, the bounding are X and Y (the LAT and LON columns refers to the location of the county seat).
File example attached.

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Chad Greene
Chad Greene 2021-10-5
If it's a standard map projection, use projinv.

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