Projection with '+' using findByIdAndUpdate does not return the property

[sspenst]

Prerequisites

• I have written a descriptive issue title
• I have searched existing issues to ensure the bug has not already been reported

Mongoose version

7.1.1

Node.js version

18.7.0

MongoDB server version

5.5.0

Typescript version (if applicable)

5.0.4

Description

When using select: false for a property x in a schema, x is not returned when using findByIdAndUpdate and projection: '+x'.

Only started occurring in 7.1.1, I don't see this issue <= 7.1.0.

Steps to Reproduce

In a schema:

x: {
  type: String,
  select: false,
},

Then try to do:

const response = await XModel.findByIdAndUpdate(
  id,
  { $set: { y: y } },
  { projection: '+x' },
);

response does not contain x.

Expected Behavior

The property is returned.

[sspenst]

Maybe related to #13340

[IslandRhythms]

Tested on 7.2

const mongoose = require('mongoose');

const testSchema = new mongoose.Schema({
  name: String,
  nickName: {
    type: String,
    select: false
  }
});

const Test = mongoose.model('Test', testSchema);

async function run() {
  await mongoose.connect('mongodb://localhost:27017');
  await mongoose.connection.dropDatabase();

  const entry = await Test.create({
    name: 'Test Testerson',
    nickName: 'Quiz'
  });

 const res = await Test.findByIdAndUpdate(entry._id, { $set: { name: 'Test' } }, { projection: '+nickName', returnDocument: 'after'});
  console.log(res);
}

run();