🛠 Tooling: Bump to create-typescript-app@2

[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

Coming over from JoshuaKGoldberg/create-typescript-app#1966: create-typescript-app v2 is stable and I'd like to bump all my repositories over to it. I'd also like to take get this repository automatically transitioning to each new version of CTA with Renovate (JoshuaKGoldberg/create-typescript-app#1965). 🚀

Additional Info

🎁

[JoshuaKGoldberg]

This repo has a lot of customizations that will be kind of a pain to port over. Marking as blocked on:

• 📝 Documentation: Consider using tsdocs.dev for deployed site instead of TypeDoc #387: to remove deployment logic
• 🚀 Feature: Rethinking building: entry points, bundle: false, and tsup issues JoshuaKGoldberg/create-typescript-app#1910: because that system will ideally work for this package too