🛠 Tooling: Use the create engine for file system writing

[JoshuaKGoldberg]

Bug Report Checklist

• I have tried restarting my IDE and the issue persists.
• I have pulled the latest main branch of the repository.
• I have searched for related issues and found none that matched my issue.

Overview

Right now, created files are written to disk with a recursive writeStructure/writeStructureWorker system:

create-typescript-app/src/steps/writing/writeStructure.ts

Lines 8 to 20 in 4849839

	export async function writeStructure(options: Options) {
	await writeStructureWorker(
	await createStructure(options, isUsingCreateEngine()),
	".",
	);
	try {
	// https://github.com/JoshuaKGoldberg/create-typescript-app/issues/718
	await $`chmod ug+x .husky/pre-commit`;
	} catch {
	// https://github.com/JoshuaKGoldberg/create-typescript-app/issues/1195
	}
	}

This is something that can come from create. Pending using full "Runner" APIs (#1760), this is a good start.

Additional Info

💖

[github-actions]

🎉 This is included in version v1.77.0 🎉

The release is available on:

• GitHub releases
• npm package (@latest dist-tag)

Cheers! 📦🚀