How to set class param default value in case this value is another class

Question

Code

I have class Collection which excepts personClass as param. How to set default value Person to personClass parameter?

class Person {
  constructor(public data: object) {
  }
}

class Collection<A extends unknown[], T extends Person>{
  personClass: new (...args: A) => T;
  items: T[] = []

  constructor(personClass: new (...args: A) => T = Person) {
              ^^^
              TS2322: Type 'typeof Person' is not assignable to type 'new (...args: A) => T'.   Types of construct signatures are incompatible.
    this.personClass = personClass
  }

  add(...params: A) {
    const person = new this.personClass(...params)
    this.items.push(person)
  }
}

class User extends Person {
  data: {
    name: string
  }
  constructor(name: string) {
    super({ name })
  }

  get name() {
    return this.data.name
  }
}

const collection = new Collection(User)
const anotherCollection = new Collection()

collection.add('1') // correct
collection.add(1) // show error as expected
collection.add({name: '123'}) // show error as expected

anotherCollection.add({
  name: '123',
  age: 1
}) // expected
anotherCollection.add('1') // expected error