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Issue Description

Bug discussed and confirmed by @JoshuaKGoldberg and @bradzacher.

Config working with typescript-eslint v7.9.0 does not work with v8.0.0-alpha.10, raising:

/Users/<...>/eslint.config.js
  0:0  error  Parsing error: "parserOptions.programs" has been provided for @typescript-eslint/parser.
The file was not found in any of the provided program instance(s): eslint.config.js

although I don't use any home-made program.

Potential culprit: https://github.com/typescript-eslint/typescript-eslint/pull/8834/files

Reproduction Repository Link

https://github.com/OlivierZal/melcloud-api/blob/e118342a2ce16c49e41e145844bc318e344cfe52/eslint.config.js

Repro Steps

1. git clone https://github.com/OlivierZal/melcloud-api
2. git co e118342a2ce16c49e41e145844bc318e344cfe52
3. eslint .
4. npm i typescript-eslint@8.0.0-alpha.10 --force
5. eslint .
6. compare the 2 outputs (see attached screenshots: v7.9.0 vs v8.0.0-alpha)

Versions