Google Sheet 1 (TabName = "externalTab")
Google Sheet 2 (TabName = "InternalTab")
Use importrange to pull the all data from "externalTab" to "Internal Tab". Then just use a sumifs formula to add up values based on your criteria.
=IMPORTRANGE("https://docs.google.com/spreadsheets/d/1sLPGZkAVlxWfjhDMU9oa_cww0AI570Rtem0XCoOx0AE", "'externalTab '!A1:AF2000")
Alternatively use the following formula. Integers to be summed are located in column a/Col1 and Months are located in column b/Col2. There is one header row on the spreadsheet and we are adding up all the Integers that correspond to the month June.
=sum(query(importrange("https://docs.google.com/spreadsheets/d/1sLPGZkAVlxWfjhDMU9oa_cww0AI570Rtem0XCoOx0AE","a1:b1000"),"select Col1, Col2 WHERE Col2 = 'June'",1))
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