🛠️ Repo: Bump ESLint dependencies to support ESM syntax

[JoshuaKGoldberg]

As a part of / precursor to #265 -> #269, we're going to need to bump ESLint's parser to support import and other ESM-only syntax. Example from #269 -> https://github.com/JoshuaKGoldberg/generator-generator/actions/runs/13970861597/job/39112002816:

/home/runner/work/generator-generator/generator-generator/app/index.js
  67:22  error  Parsing error: Unexpected token import