1. Create a blank query in Power Query Editor like so:
let
Source = DateTime.LocalNow(),
#"Converted to Table" = #table(1, {{Source}}),
#"Renamed Columns" = Table.RenameColumns(#"Converted to Table",{{"Column1", "Publish Date"}}),
#"Changed Type" = Table.TransformColumnTypes(#"Renamed Columns",{{"Publish Date", type datetime}})
in
#"Changed Type"
2. Keep “Include in report refresh” unselected.
3. Create a Card visual to show “LastPublishedDate”.
4. Before publishing the report, you need to refresh the data of the “LastPublishedDate” table, not refresh the report.