I got multiple interfaces, say Int1, Int2 and so on

interface Int1 {}
interface Int2 {}

And I want to create a registry, structured as

const Registry = {
  "Int1": {
    "obj1": {} as Int1,
    "obj2": {} as Int1,
  },
  "Int2": {
    "obj1": {} as Int2,
  },
}

AFAIK TypeScript requires the key type to be a literal. If I define my interface names as literals, how can I use these literals to reference the actual interface as type? Seems like I could the it with mapped types but I cannot figure it out myself.

Like

type RegistryType = {
  [theKey in "Int1" | "Int2"]: {
    [x: string]: <<force the interfaces Int1 or Int2 respecting theKey>>
  }
}