[eslint-config] Outdated version of typescript-eslint plugin and parser

[jjnkr]

Summary

I would like to use TypeScript 4.1.2 in a project which is using the rushstack config. When running ESLint, I see the following message:

=============
WARNING: You are currently running a version of TypeScript which is not officially supported by @typescript-eslint/typescript-estree.
You may find that it works just fine, or you may not.
SUPPORTED TYPESCRIPT VERSIONS: >=3.3.1 <3.10.0
YOUR TYPESCRIPT VERSION: 4.1.2
Please only submit bug reports when using the officially supported version.
=============

Details

I don't know whether bumping up to the newest version of typescript-eslint's tools would cause problems, given that these libraries had a major version change, but if it's possible then that would be helpful for me.

Standard questions

Please answer these questions to help us investigate your issue more quickly:

Question	Answer
@rushstack/eslint-config version?	2.1.1
Operating system?	Mac
Would you consider contributing a PR?	Yes
TypeScript compiler version?	4.1.2
Node.js version (node -v)?	12.8.4

[octogonz]

We should probably upgrade API Extractor in the same PR.

[octogonz]

Bumping priority of this.

[relm923]

@octogonz are you able to review #2771 ?

[octogonz]

@relm923 Thanks for making a PR! I'm back from the holiday and will take a look today

[octogonz]

Update: This got stalled because the PR is failing rush update --full. I'm working on it.

(See typescript-eslint/typescript-eslint#3622 for details)