Database
[{project:{name:"",createdBy:ObjectId("000000000000000000000001"),sharedWith:{/**here is a key value object to find by name*/"645c9bfe68c1438ef182bc26":{write:true}}}},{project:{name:"",createdBy:ObjectId("000000000000000000000002"),sharedWith:{/**here is a key value object to find by name*/"645c9bfe68c1438ef182bc27":{write:true}}}},{project:{name:"",createdBy:ObjectId("000000000000000000000001"),sharedWith:{/**here is a key value object to find by name*/"645c9bfe68c1438ef182bc27":{write:true}}}},{project:{name:"",createdBy:ObjectId("000000000000000000000002"),sharedWith:{/**here is a key value object to find by name*/"645c9bfe68c1438ef182bc26":{write:true}}}}]
Query
db.collection.find({"$or":[{"project.createdBy":ObjectId("000000000000000000000001")},{"project.sharedWith.645c9bfe68c1438ef182bc26":{"$exists":true}}]})