Creating Enterprise Geodatabase require ARCGIS Server authorization file. How does an ARCGIS Pro personal advance license user get this file.
To create/enable an Enterprise Geodatabase, regardless of supported RDBMS, requires the keycode file from any level of ArcGIS Enterprise (Basic, Standard, Advanced)
Create a geodatabase in PostgreSQL on Windows—Geodatabases in PostgreSQL | ArcGIS Desktop
ArcGIS Enterprise Enterprise GIS