Database
[{"draft":[["Panic 2","63d2648d373f7fea3fa9d387_1681628752497"],],"publish":[["Ruins Exploration Gone Wrong!","63d2648d373f7fea3fa9d387_1681628787816"],["Fresh Start","63d2648d373f7fea3fa9d387_1681628805269"],]}]
Query
db.collection.update({"draft":{$elemMatch:{$elemMatch:{$eq:"63d2648d373f7fea3fa9d387_1681628752497"}}}},[{$set:{selected:{$filter:{input:"$draft",cond:{$eq:[{$arrayElemAt:["$$this",1]},"63d2648d373f7fea3fa9d387_1681628752497"]}}},draft:{$filter:{input:"$draft",cond:{$ne:[{$arrayElemAt:["$$this",1]},"63d2648d373f7fea3fa9d387_1681628752497"]}}}}},{$set:{publish:{$concatArrays:["$publish","$selected"]},selected:"$$REMOVE"}}])