mongodb: match, group by multiple fields, project and count - mongodb

Question

So I'm learning mongodb and I got a collection of writers to train.
Here I'm trying to count works by sorting them by country and gender of the author. This is what I accoplished so far:
db.writers.aggregate([
{ "$match": { "gender": {"$ne": male}}},
{ "$group": {
"_id": {
"country_id": "$country_id",
"type": "$type"
},
}},
{ "$group": {
"_id": "$_id.country_id",
"literary_work": {
"$push": {
"type": "$_id.type",
"count": { "$sum": "$type" }
}
},
"total": { "$sum": "$type" }
}},
{ "$sort": { "country_id": 1 } },
{ "$project": {
"literary_work": { "$slice": [ "$literary_work", 3 ] },
"total": { "$sum": "$type" }
}}
])
Sadly, the output that I get is not the one I'm expecting:
"_id" : GREAT BRITAIN,
"literary_work" : [
{
"type" : "POEM",
"count" : 0
},
{
"type" : "NOVEL",
"count" : 0
},
{
"type" : "SHORT STORY",
"count" : 0
}
],
"total" : 0
Could anyone tell me where do I insert the count stage or what is my mistake?)
upd:
Data sample:
{
"_id" : ObjectId("5f115c5d5f62f9f482cd7a49"),
"author" : George Sand,
"gender" : female,
"country_id" : FRANCE,
"title": "Consuelo",
"type" : "NOVEL",
}
Expected result (NB! this is a result for both genders):
{
"_id" : FRANCE,
"count" : 59.0,
"literary_work" : [
{
"type" : "POEM",
"count" : 14.0
},
{
"type" : "NOVEL",
"count" : 34.0
},
{
"type" : "SHORT STORY",
"count" : 11.0
}
]
}

Answer 1

Your implementation is correct way but there are missing things:
missed count in first $group
on the base of first group count it can count whole count of literary_work
and $project is not needed from your query
Corrected things in query,
db.writers.aggregate([
{
$match: {
gender: { $ne: "male" }
}
},
{
$group: {
_id: {
country_id: "$country_id",
type: "$type"
},
// missed this
count: { $sum: 1 }
}
},
{
$group: {
_id: "$_id.country_id",
// this count will be on the base of first group count
count: { $sum: "$count" },
literary_work: {
$push: {
type: "$_id.type",
// add count in inner count
count: "$count"
}
}
}
},
// corrected from country_id to _id
{
$sort: { "_id": 1 }
}
])
Working Playground: https://mongoplayground.net/p/JWP7qdDY6cc