ci(e2e): fix E2E ESLint

[k1tikurisu]

What's the problem this PR addresses?

related: related #6545

The job named "E2E ESLint" has failed because it did not support ESLint v9.
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How did you fix it?

I updated the E2E ESLint configuration to use the flat config format, which is the default in ESLint v9.

ask

The fixed E2E tests are failing for a different reason, but I don't know why.
It passes when run through Yarn v4.5.0 in the local environment.

Error: @typescript-eslint/utils tried to access eslint (a peer dependency) but it isn't provided by its ancestors; this makes the require call ambiguous and unsound.

Required package: eslint (via "eslint/use-at-your-own-risk")
Required by: @typescript-eslint/utils@virtual:45b3e83e1b[75](https://github.com/yarnpkg/berry/actions/runs/11192853600/job/31117504411#step:5:83)d7e41c682fbab9da6e963fc154f47b8379f0d9f403548c327a0d4494acd58f4cc8faed5652f06329e53049faa0f78df2e5b8d51646a46f94da01#npm:8.8.0 (via /tmp/tmp.aaqnDR1dSF/.yarn/__virtual__/@typescript-eslint-utils-virtual-a1dee45887/3/home/runner/.yarn/berry/cache/@typescript-eslint-utils-npm-8.8.0-be40d0f957-10c0.zip/node_modules/@typescript-eslint/utils/dist/ts-eslint/eslint/)

Ancestor breaking the chain: @typescript-eslint/type-utils@virtual:ade96ce131f5234a1125fbca8bf0580592094ab7fc850f329fd5c0638a369ebf1362f5acc310ce28926c68141cd8b708d84bcc5af4e6726b383f0b4149003cd3#npm:8.8.0
Ancestor breaking the chain: typescript-eslint@virtual:d77970ed84260d015cac656a2186bf8383aa098235a1924d86f512e888152c2dc341854e051d144cc54ee50c91560e7afa86e74[76](https://github.com/yarnpkg/berry/actions/runs/11192853600/job/31117504411#step:5:84)316e21f415a04e2f4a7f671#npm:8.8.0

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Checklist

• I have read the Contributing Guide.

• I have set the packages that need to be released for my changes to be effective.

• I will check that all automated PR checks pass before the PR gets reviewed.

[k1tikurisu]

duplicate #6444