Matching frequency function output with a column header

This function: =MAX(FREQUENCY(IF(K4:AQ4=0, IF(COLUMN(K4:AQ4)>=MIN(IF(K4:AQ4<>0, COLUMN(K4:AQ4))), COLUMN(K4:AQ4))), IF(K4:AQ4<>0, COLUMN(K4:AQ4)))) correctly returns the greatest number of consecutive zeros in an array after ignoring zeros prior to the first nonzero value.

The header row (row 3) on my sheet is months from Jan-22 to Sep-24. I need to return the month at the end of the longest consecutive string of zeroes.

For example, after the first nonzero value, there is a string of 20 zeros and then another nonzero value. I need to return the month (which are the headers above the data) of the column of the 20th zero.