In the 'not exists' cluster, you do not have to search table "Vacancy as v" again. I think it would be faster to use the outer Vacancy table as below. In your case, that do the same work.
NOT EXISTS ( SELECT 1 FROM "CategoryOption_TableRow" "ct126" WHERE "Vacancy"."Template" AND "ct126"."CategoryOptionID" IN (34024,35254,35255,35256) AND "ct126"."Category_TableID" = 126 AND "ct126"."RowID" = "Vacancy"."ID" )