Support for zod.input to allow properties with defaults

[bhvngt]

Thanks for creating this great library. Save me a ton of work in my current project.

I have many Zod schemas having properties with default values. z.infer gives z.output inference by default. However, when sending data to the constructor, I find it convenient to use z.input which marks the properties with default value as optional - ref

To illustrate

const UserProfileSchema = z.object({
  name: z.string(),
  age: z.number(),
  role: z.string().default("Admin"),
});
class UserProfile extends Z.class(UserProfileSchema.shape) {
  // constructor(input: z.input<typeof UserProfileSchema>) {
  // super(input as z.output<typeof UserProfileSchema>);
  // }
  getMessage() {
    return `Hello ${this.name}, you are ${String(
      this.age
    )} years old and your role is ${this.role}`;
  }
}

const profile = new UserProfile({ name: "John", age: 30 }); // gives TS error unless constructor code is uncommented
profile.getMessage();

Here's the playground.

Is there a way to send z.input based schema inference for the constructor parameters without resorting to overloading the constructor? While overloading a constructor is not a big deal, it just becomes repeatative for all my Zod classes.