Not sure how it possible (If linkedLists as array of scalars ).
If it is already object and want to add new field class then use
ARRAY OBJECT_ADD(v, "_class", "com.model.ListItem") FOR v IN b.linkedLists END AS linkedLists
OR
(SELECT ll.*, "com.model.ListItem" AS _class FROM b.linkedLists AS ll) AS linkedLists
If you want add constant object
pass $newobj as named parameter or replace with constant
SELECT b.*,
ARRAY OBJECT_CONCAT({"_id": v}, $newobj) FOR v IN b.linkedLists END AS linkedLists
FROM mybucket AS b
WHERE .....;
OR
SELECT b.*,
(SELECT ll AS _id, $newobj.* FROM b.linkedLists AS ll) AS linkedLists
FROM mybucket AS b
WHERE .....;