[{_id:1,list_id:23,name:"list01",cards:[{id:3,name:"card01",categories:[{id:10,category:"section01",tags:[{id:11,name:"tag01",is_selected:true}]}]}]}]

db.collection.update({list_id:23,"cards.categories.category":"section01"},{$push:{"cards.$.categories.$[elem].tags":{name:"tag02",id:4,is_selected:true}}},{arrayFilters:[{"elem.category":"section01"}]})