Trying to find specific headcount for each month of arrivals and how to include End Date

Hello All,

I have a formula currently counting the arrivals for a headcount but it is not counting who is staying past that month. How can I change my formula to accomodate not only new arrivals but also the current personnel that are there for future months. I.E. New arrivals + Current personnel

=COUNTIFS({TA Management Submissions (Overall) Range 5}, [Primary Column]$2, {TA Management Submissions (Overall) Range 3}, HAS(MONTH(@cell ), [Column2]@row))

Range 5: Type of Personnel

Range 3: Start Date

Need to incorporate End Date to finalize total headcount

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