feat: enable noEmit in tsconfig.json

[JoshuaKGoldberg]

PR Checklist

• Addresses an existing open issue: fixes 🛠 Tooling: Enable noEmit: true in tsconfig.json #800
• That issue was marked as status: accepting prs
• Steps in CONTRIBUTING.md were taken

Overview

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

[codecov]

Codecov Report

Merging #888 (b1c387c) into main (36e236a) will increase coverage by 0.00%.
The diff coverage is 100.00%.

@@           Coverage Diff           @@
##             main     #888   +/-   ##
=======================================
  Coverage   92.77%   92.77%           
=======================================
  Files          89       89           
  Lines        4675     4676    +1     
  Branches      358      358           
=======================================
+ Hits         4337     4338    +1     
  Misses        337      337           
  Partials        1        1           

Flag	Coverage Δ
create	70.85% <100.00%> (+<0.01%)	⬆️
initialize	35.44% <0.00%> (-0.01%)	⬇️
migrate	70.17% <100.00%> (+<0.01%)	⬆️
unit	59.99% <0.00%> (-0.02%)	⬇️

Flags with carried forward coverage won't be shown. Click here to find out more.

Files Changed	Coverage Δ
src/steps/writing/creation/rootFiles.ts	96.63% <100.00%> (+0.01%)	⬆️

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[github-actions]

🎉 This is included in version v1.32.0 🎉

The release is available on:

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

Cheers! 📦🚀