fix: don't remove package.json bin in migration (#853)

## PR Checklist

- [x] Addresses an existing open issue: fixes #797
- [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

This is now the second piece of conditional logic in `updateLocalFiles`,
so I switched its config parameter to directly take in `mode: Mode`.

This particular change also finally got its snapshot tests past my
personal _"tl;dr"_ threshold. I switched the logic based on `logic` to
use more targeted `toHaveBeenCalledWith`s instead.

Author: JoshuaKGoldberg

src/initialize/initializeWithOptions.ts

@@ -19,7 +19,7 @@ export async function initializeWithOptions({
 		[
 			"Updating local files",
 			async () => {
-				await updateLocalFiles(options, { resetPackageVersion: true });
+				await updateLocalFiles(options, "initialize");
 			},
 		],
 		["Updating README.md", updateReadme],

src/migrate/migrateWithOptions.ts

@@ -31,7 +31,7 @@ export async function migrateWithOptions({
 		[
 			"Updating local files",
 			async () => {
-				await updateLocalFiles(options);
+				await updateLocalFiles(options, "migrate");
 			},
 		],
 		[