Here are some resources for achieving this in ArcGIS Desktop, Pro, and python:
How To: Calculate latitude and longitude for point features
https://support.esri.com/en/technical-article/000008944
Calculate/Add Geometry attributes tools:
https://desktop.arcgis.com/en/arcmap/10.6/tools/data-management-toolbox/calculate-geometry-attribute...
https://desktop.arcgis.com/en/arcmap/10.6/tools/data-management-toolbox/add-geometry-attributes.htm
Note that if you are trying to script it out, it appears that you cannot specify the desired units.
via ArcPy:
https://gis.stackexchange.com/questions/114416/calculating-geometry-area-in-arcgis-desktop-using-arcpy
https://gis.stackexchange.com/questions/8163/getting-latitude-and-longitude-of-projected-point-using-arcpy
From the National Wildfire Coordinating Group:
https://www.nwcg.gov/sites/default/files/publications/936-1-calculate-geometry-using-python.pdf
https://community.esri.com/t5/python-questions/how-to-automate-quot-calculate-geometry-quot-degrees-...
https://gis.stackexchange.com/questions/155476/using-python-to-field-calculate-lat-long-with-decimal...
https://community.esri.com/t5/python-questions/calculate-field-with-code-block-python-script/td-p/71...
