The 'Converted' status in Lead path is a generic value and not a picklist value. The real value of the converted status will show up when users followed the following steps:
1. Clicked 'Select Converted Status' button at the end of the Lead path.
2. On the lower right corner of the form that shows up, from here users will have the ability to set the right converted status.
3. If you are updating the lead status value then the API name and the lead status label should match.
Consider voting on the idea below to display your converted value in Lead path instead of the generic 'Converted' status. Set Sales Path to Stage Name instead of "Converted"
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