Statically match namespace names using `new Function().name`

I have this bit of code:

import * as express from 'express';
import {RequestHandler} from 'express';

const router = express.Router();

export const register = (v: any) => {
  router.get('/', makeGetFoo(v));
  router.put('/', makePutFoo(v));
};

namespace ApiDoc {
  
  export interface makeGetFoo  {  // <--- i want to share this interface with front-end codebase
    success: boolean
  }
  
  export interface makePutFoo  {  // <--- i want to share this interface with front-end codebase
    success: boolean
  }
}


const makeGetFoo = (v: any): RequestHandler => {
  
  return (req, res, next) => {
    
    res.json(<ApiDoc[makeGetFoo.name]>{success: true});
    
  };
  
};

const makePutFoo = (v: any): RequestHandler => {
  
  return (req, res, next) => {
    
    res.json(<ApiDoc[makePutFoo.name]>{success: true});
    
  };
  
};

my goal is to put the typings in a intermediary file, so that the types can be sourced by the front-end code. Hopefully you understand what I am trying to do.

The problem is I get this:

Cannot use namespace ApiDoc as a type

What I want to do is create a system where the interface name matches the function name so that I don't have to guess, etc.

Start with the TypeScript example and the reported “Cannot use namespace ApiDoc as a type” error. Determine whether the requested function-name-based interface lookup is a compiler feature and define the expected type-checking behavior; done should allow the intended shared typings without that error, with tests covering the demonstrated pattern.