What about if you were to list the table names in a column, and then build a formula using =INDIRECT to reference the table names in the cells? That way you would only have to write the formula once and copy it down, and then sum the column at the end.
So for example, in A2 put Table1, A3 put Table2, etc down to A33.
Then in B2 put the formula =SUMIFS(INDIRECT(A2&"[Value]"),INDIRECT(A2&"[Month]"),1,INDIRECT(A2&"[Year]"),1)
and copy this down to B33.
Then in B34, add the formula =SUM(B2:B33) to get the total.
See attached image.