Determine the name of the shader property under the mouse pointer

I've written a sample Operator for this. Simply hover over a property, press F3 and run Test Hover Property. It will print the property's name in the System Console.

import bpy

class TEST_OT_hover_prop(bpy.types.Operator):
    """Check current property under mouse (if possible)"""
    bl_idname = "test.hover_prop"
    bl_label = "Test Hover Property"

    def execute(self, context):
        print("Test property name hovered over:")
        prop = context.property
        if not prop:
            self.report({'INFO'}, "No property detected")
            return {'FINISHED'}
        
        owner, path, _ = prop
        self.report({'INFO'}, f"RNA Path: {path}")
        try:
            node_name = path.split('["')[1].split('"]')[0]  # e.g. nodes["Principled BSDF"].inputs[0].default_value
            input_index = int(path.split('inputs[')[1].split(']')[0])
            node = owner.nodes[node_name]
            socket_name = node.inputs[input_index].name
            self.report({'INFO'}, f"Property name: {socket_name}")
        except Exception as e:
            self.report({'INFO'}, f"Failed to get name: {e}")

        return {'FINISHED'}

def register():
    bpy.utils.register_class(TEST_OT_hover_prop)

def unregister():
    bpy.utils.unregister_class(TEST_OT_hover_prop)

if __name__ == "__main__":
    register()