Repository: TypeScript
Issue: Module/interface augmentation doesn't preserve import for declaration emit
Labels: Needs Investigation,Domain: Declaration Emit

### 🔎 Search Terms

- project references
- module/interface augmentation

### 🕗 Version & Regression Information

- This is the behavior in every version I tried, and I reviewed the FAQ for entries about project references.


### ⏯ Playground Link

_No response_

### 💻 Code

Full reduced test case (contents inlined below): https://github.com/OliverJAsh/ts-project-references-augmentation-bug

`package.json`:
```json
{
  "dependencies": {
    "fp-ts": "^2.16.1",
    "typescript": "^5.2.2"
  }
}

```

`app/tsconfig.json`:
```json
{
    "compilerOptions": {
        "rootDir": "../",
        "outDir": "../target",
        "composite": true
    }
}

```

`app/index.ts`:
```ts
import * as ReadonlyTuple from 'fp-ts/ReadonlyTuple';

export const Apply = ReadonlyTuple.getApply({ concat: a => a });

```

`demos/tsconfig.json`:
```json
{
    "compilerOptions": {
        "rootDir": "../",
        "outDir": "../target"
    },
    "references": [
        { "path": "../app/tsconfig.json" },
    ]
}

```

`demos/index.ts`:
```ts
import { Apply } from "../app/index";

Apply;

```



### 🙁 Actual behavior

A module in the "app" project imports the file `node_modules/fp-ts/lib/ReadonlyTuple.d.ts`. This file uses module and interface augmentation. Excerpt:

```ts
export declare const URI = 'ReadonlyTuple'
/**
 * @category type lambdas
 * @since 2.5.0
 */
export type URI = typeof URI
declare module './HKT' {
  interface URItoKind2<E, A> {
    readonly [URI]: readonly [A, E]
  }
}
```

When I later try to reference the "app" project from another project ("demos") using project references, I get a type error because the module/interface augmentation is not being applied:

```console
$ yarn run tsc --build --verbose demos/tsconfig.json
yarn run v1.22.19
warning package.json: No license field
$ /Users/oliver/Code/reduced-test-cases/ts-project-references-augmentation-bug/node_modules/.bin/tsc --build --verbose demos/tsconfig.json
[13:49:06] Projects in this build:
    * app/tsconfig.json
    * demos/tsconfig.json

[13:49:06] Project 'app/tsconfig.json' is out of date because output file 'target/app/tsconfig.tsbuildinfo' does not exist

[13:49:06] Building project '/Users/oliver/Code/reduced-test-cases/ts-project-references-augmentation-bug/app/tsconfig.json'...

[13:49:06] Project 'demos/tsconfig.json' is out of date because output file 'target/demos/index.js' does not exist

[13:49:06] Building project '/Users/oliver/Code/reduced-test-cases/ts-project-references-augmentation-bug/demos/tsconfig.json'...

target/app/index.d.ts:1:63 - error TS2344: Type '"ReadonlyTuple"' does not satisfy the constraint 'keyof URItoKind2<any, any>'.

1 export declare const Apply: import("fp-ts/lib/Apply").Apply2C<"ReadonlyTuple", unknown>;
                                                                ~~~~~~~~~~~~~~~


Found 1 error.
```


### 🙂 Expected behavior

No error. The module/interface augmentation should be applied in the dependant project when it consumes the type declarations of the referenced project.

### Additional information about the issue

I am able to workaround the issue by adding an explicit import of `fp-ts/ReadonlyTuple` in `demos/index.ts`.