Assuming the results of your sort() formula are in the range sort!A2:G, and you want to insert a blank row every time the value in column sort!F2:F changes, put this formula in cell A2 of a blank sheet:
=arrayformula( iferror(
vlookup(
sort(
{
filter(row(sort!F2:F); len(sort!F2:F));
filter(row(sort!F2:F); len(sort!F2:F); sort!F2:F <> sort!F3:F) + 0,3
}
);
{ row(sort!F2:F) \ sort!A2:G };
column(sort!A2:G) - column(sort!A2) + 2;
false
)
) )
Format column F as Format > Number > Date.
The formula uses separators that work in locales that use comma as decimal mark. To make it work in a locale that uses period as decimal mark, replace the comma there with a period, all semicolons with commas except the one following the first filter(), and the backslash \ with a comma.
This is a well-known pattern to insert a blank row between rows where the value in a key column changes (here, column F). For an explanation of how it works, see Insert blank row after every group for same data.