Typescript 'Homepage' links are broken

# Documentation style bug

## Summary

Summary: TypeScript 'HomePage' Links have outdated URLs. Specifically, it seems several items have moved 'outside' of the 'handbook'.

Steps to reproduce:

1. Select Typescript from the side bar

2. Click any link on the 'HomePage'
3. Notice the page does not load and displays an error message.
4. Navigate through the sidebar to 'TypeScript' -> 'Get Started' -> 'TypeScript for the New Programmer'
5. Notice the page is available under a different URL.

## Actual style

Actual: Clicking on a link from the HomePage does not load the page and displays an error message. The URL used is: **https://devdocs.io/typescript/handbook/typescript-from-scratch**


## Expected style

Actual: Clicking on a link from the HomePage should display the page by using the associated URL:
**https://devdocs.io/typescript/typescript-from-scratch**


Search the repository for the outdated URL `typescript/handbook/typescript-from-scratch` and trace it to the TypeScript homepage link definitions. Compare those links with the available `typescript/typescript-from-scratch` path and verify that each homepage link loads the intended page.

Written by the indexing model from the issue text.