This upgrades to vscode-eslint 2.4.4 to support flat configs, in
multiple configuration files, ending in `.js`, `.cjs`, `.mjs`.

We changed the code to not use the GitHub release because we actually
don't need the artifacts of the release, we just need the source code,
which we compile anyway.

Fixes #7271.

Release Notes:

- Added support for ESLint flat config files.
([#7271](https://github.com/zed-industries/zed/issues/7271)).

Co-authored-by: Kristján Oddsson <koddsson@gmail.com>