That is why it is best to publish real documents from your collections. When I see
const obj = {
_id: ObjectId('3432sdscscsc'),
b: 'string'
};
I see a constant object defined in JS code. Not a document in a collection. For this my solution is inadequate unless you want to pay the performance penalty of 2 database access.
You will not be able to use the localField/foreingField version. You will need to use the version at https://docs.mongodb.com/manual/reference/operator/aggregation/lookup/#join-conditions-and-subqueries-on-a-joined-collection.
Also see Conditional $lookup