How to sort multiple columns using QUERY function together with checkboxes-CodePudding

I need to sort multiple columns using the QUERY function together with checkboxes which indicate which columns to sort. This should work with multiple columns.

This is the formula:

=IFERROR(ARRAYFORMULA(
    QUERY(
        {AI4:AY101, TRIM(FLATTEN(QUERY(TRANSPOSE(AJ4:AY101),,9^9)))}, 
        "Select Col1, Col2, Col3, Col4, Col5, Col6, Col7, Col8, Col9, Col10, Col11, Col12, Col13, Col14, Col15, Col16, Col17
        where Col18 is not null
        order by 
        Col"&$P$1&" "&$P$3&"
        ", )),"Loading…")

It works for single columns if I check only 1 checkbox. Is there a way to make it sort multiple columns if I check multiple checkboxes?

Demo file: