InferSchemaType: array of subdocuments with a "type" key is not correctly inferred

[JavaScriptBach]

Prerequisites

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

Mongoose version

6.8.2

Node.js version

16.17.1

MongoDB server version

4.4

Typescript version (if applicable)

No response

Description

If I have an array of objects containing a key named "type": InferSchemaType does not correctly infer it.

Steps to Reproduce

const schema = new Schema({
  fooArray: {
    type: [{
      type: {
        type: String,
        required: true,
      },
      foo: {
        type: Number,
        required: true,
      }
    }],
    required: true,
  }
})
type schemaT = InferSchemaType<typeof schema>;

Expected Behavior

I should get the following type inferred:

type schemaT = {
    fooArray: {
        type: string;
        foo: number;
    }[];
}

Instead I get:

type schemaT = {
    fooArray: {
        type?: string | undefined;
        required?: unknown;
    }[];
}