feat: enable noEmit in tsconfig.json (#888)

## PR Checklist

- [x] Addresses an existing open issue: fixes #800
- [x] That issue was marked as [`status: accepting
prs`](https://github.com/JoshuaKGoldberg/create-typescript-app/issues?q=is%3Aopen+is%3Aissue+label%3A%22status%3A+accepting+prs%22)
- [x] Steps in
[CONTRIBUTING.md](https://github.com/JoshuaKGoldberg/create-typescript-app/blob/main/.github/CONTRIBUTING.md)
were taken

## Overview

Updates the repo's `tsconfig.json` file and backing template.

Author: JoshuaKGoldberg

src/steps/writing/creation/rootFiles.ts

@@ -163,6 +163,7 @@ SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
 				esModuleInterop: true,
 				module: "NodeNext",
 				moduleResolution: "NodeNext",
+				noEmit: true,
 				outDir: "lib",
 				resolveJsonModule: true,
 				skipLibCheck: true,

tsconfig.json

@@ -5,6 +5,7 @@
 		"esModuleInterop": true,
 		"module": "NodeNext",
 		"moduleResolution": "NodeNext",
+		"noEmit": true,
 		"outDir": "lib",
 		"resolveJsonModule": true,
 		"skipLibCheck": true,