have a start week cell, and end week cell then add the additional parameter to the SUMPRODUCT - e.g.:
where A1 is week from {inclusive}, and B1 is week to {inclusive} -- this would give you max flexibility.
in terms of range definition, you can use a Dynamic Named Range (which you should anyway if your dataset is large, even with SUMIFS etc), e.g.
above would create range from C3 to XY where X is last column with # in row 3, and Y is last row of text in Column C
Your SUMPRODUCT can be adapted, based on your sample data types, to :
in terms of using >3 as an entry value... this type of construct is really for use with COUNTIFS/SUMIFS etc - so, not really applicable... you can use it but you'd have to fudge the resulting function to strip out / evaluate the string which is really not worthwhile.
EDIT: I had a typo in the _Data SUMPRODUCT -- first criteria should have referenced column 1 rather than 3, corrected above, apologies for confusion !
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