fix: remove hydrate entries from package.json in setup (#571)

## PR Checklist

- [x] Addresses an existing open issue: fixes #480
- [x] That issue was marked as [`status: accepting
prs`](https://github.com/JoshuaKGoldberg/template-typescript-node-package/issues?q=is%3Aopen+is%3Aissue+label%3A%22status%3A+accepting+prs%22)
- [x] Steps in
[CONTRIBUTING.md](https://github.com/JoshuaKGoldberg/template-typescript-node-package/blob/main/.github/CONTRIBUTING.md)
were taken

## Overview

Adds a couple of removals and clumps them together.

Author: JoshuaKGoldberg

src/setup/steps/updateLocalFiles.ts

@@ -31,9 +31,11 @@ export async function updateLocalFiles({
 		[/JoshuaKGoldberg/g, owner],
 		[/template-typescript-node-package/g, repository],
 		[/\/\*\n.+\*\/\n\n/gs, ``, ".eslintrc.cjs"],
-		[/"setup": ".*",/g, ``, "./package.json"],
-		[/"setup:test": ".*",/g, ``, "./package.json"],
 		[/"author": ".+"/g, `"author": "${npmAuthor}"`, "./package.json"],
+		[/"bin": ".+\n/g, ``, "./package.json"],
+		[/"hydrate:test": ".+\n/g, ``, "./package.json"],
+		[/"setup:test": ".*/g, ``, "./package.json"],
+		[/"setup": ".*/g, ``, "./package.json"],
 
 		[/## Explainer.*## Usage/gs, `## Usage`, "./README.md"],
 		[/\n### Testing the Setup Script.*$/gs, "", "./.github/DEVELOPMENT.md"],