Add support for `eslint.config.mjs` `ESM` flat `ESLint` config

[hakimio]

Current Behavior

Currently only CommonJS eslint.config.cjs flat config is supported. The other variants like .mjs, .mts and .cts should be supported too.

angular-eslint already supports both .cjs and .mjs formats: angular-eslint/angular-eslint#2068

Expected Behavior

eslint.config.mjs ESM flat ESLint config should be supported

GitHub Repo

No response

Steps to Reproduce

1. Try to use eslint.config.mjs config with @nx/eslint:lint executor.

Nx Report

Node           : 20.18.0
OS             : win32-x64
Native Target  : x86_64-windows
bun            : 1.1.41

nx (global)            : 20.3.0
nx                     : 20.3.0
@nx/js                 : 20.3.0
@nx/jest               : 20.3.0
@nx/eslint             : 20.3.0
@nx/workspace          : 20.3.0
@nx/angular            : 20.3.0
@nx/devkit             : 20.3.0
@nx/module-federation  : 20.3.0
@nx/web                : 20.3.0
@nx/webpack            : 20.3.0
typescript             : 5.6.3

Failure Logs

Package Manager Version

No response

Operating System

• macOS
• Linux
• Windows
• Other (Please specify)

Additional Information

No response

[jaysoo]

We will be adding this support soon, but will not support .ts, .cts, and .mts files since those are still experimental.

[ndcunningham]

This should be supported now as of #29613

[github-actions]

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