This works
=COUNTIFS({Event Management Sheet Range 3}, [Column4]@row, {Event Management Sheet Range 7}, >DATE(2023, 9, 30), {Event Management Sheet Range 7}, <DATE(2024, 10, 1)
But this gives an incorrect argument error
=COUNTIFS({Event Management Sheet Range 3}, [Column4]@row, {Event Management Sheet Range 7}, >DATE(2023, 9, 30), {Event Management Sheet Range 7}, <DATE(2024, 10, 1), {Event Management Sheet Range 12}, 1)