[{"id":"","data0":"","data1":[{"data2":[{"name":"Man 1","_id":"5e8c242f751d0074ca004a"},{"name":"Man 2","_id":"605d403dab6100e1395697"},{"name":"Man 3","_id":"5e8c2d39751d0074ca0050"}]},{"data2":[{"name":"Man 4","_id":"5ed4efc71224005abea7eb"},{"name":"Man 5","_id":"5e8c249539751d04ca0056"},{"name":"Man 6","_id":"5e8c239a39751d0074c046"}]}]}]

db.collection.aggregate([{$project:{"data1":{$filter:{input:"$data1",cond:{$in:["Man 3","$$this.data2.name"]}}}}}])