How to receive object information from within an array in mongoose?

I have two models, a posts model and a category model where I have an array that stores posts by objectId

Category Model

const mongoose = require('mongoose');

const CategorySchema = new mongoose.Schema(
    {
        name: {
            type: String,
            required: true,
        },
        color: {
            type: String,
            required: true,
        },
        posts: [{
            type: mongoose.Schema.Types.ObjectId,
            ref: 'Post',
            required: false,
        }],
        createdAt: {
            type: Date,
            default: Date.now,
        }
    },
    { timestamps: true }
  );
  
module.exports = mongoose.model("Category", CategorySchema);

Post model

const mongoose = require('mongoose');

const PostSchema = new mongoose.Schema(
    {
        title: {
            type: String,
            required: true,
        },
        img: {
            type: String,
            required: true,
        },
        category: {
            type: mongoose.Schema.Types.ObjectId,
            ref: "Category",
        },
        desc: {
            type: String,
            required: false,
        },
        createdAt: {
            type: Date,
            default: Date.now,
        }
    },
    { timestamps: true }
  );
  
module.exports = mongoose.model("Post", PostSchema);

So I created a get by id category controller

const Category = require('../../models/Category');

class FindCategory {
    async find(req, res) {
        const { id } = req.params;

        try {
            const category = await Category.findById(id);

            return res.status(200).json(category);
        } catch (err) {
            return res.status(500).json(err);
        }
    }
} 

module.exports = new FindCategory();

The problem is that when I make this request in my postman, it returns me for example

{
    "_id": "63ac925d872445065a588f61",
    "name": "Games",
    "color": "#ff914d",
    "posts": [
        "63ac9cbccec4d9f35c4f4d1f"
    ],
    "createdAt": "2022-12-28T19:00:45.847Z",
    "updatedAt": "2022-12-28T19:49:47.119Z",
    "__v": 0
}

But I would like to render the information of each post inside the "posts" array, something like that for example

{
    "_id": "63ac925d872445065a588f61",
    "name": "Games",
    "color": "#ff914d",
    "posts": [
        "name": "red dead",
        "img": "example.png", 
        "category": "games",
        "desc": "test,
    ],
    "createdAt": "2022-12-28T19:00:45.847Z",
    "updatedAt": "2022-12-28T19:49:47.119Z",
    "__v": 0
}