Count the number of times a person's name appears in an "Assigned To" column

I currently use the below formula to count the number of times a name appears in the "Assigned To" column. The issue is that this column can have multiple names in the same cell, so I have to created a separate formula for every possible name combination. Is there a way to have a formula that looks for a name string and counts the number of appearances?

Request Tracker Range 9 - is a contact list column named "Assigned To"

Request Tracker Range 6 - is a drop down column named "Status"

=COUNTIFS({Sheet - Request Tracker Range 9}, Category@row, {Sheet - Request Tracker Range 6}, AND(@Cell <>"Closed", @cell<>"Cancelled"))

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