chore(deps): remove unused dependencies (#128)

## Summary

- Remove `@nuxtjs/eslint-module` — redundant with `@nuxt/eslint`, not referenced in nuxt.config.ts
- Remove `eslint-plugin-nuxt` — not used in eslint.config.mjs, bundles conflicting old deps
- Remove `vite-plugin-eslint2` — peer dep of `@nuxt/eslint`, not needed as direct dep
- Remove `vue-router` — auto-included by Nuxt

This also unblocks the ESLint v10 upgrade by removing `eslint-webpack-plugin` (transitive dep of `@nuxtjs/eslint-module`).

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Reviewed-on: #128

package.json

@@ -25,7 +25,6 @@
     "graphql-ws": "6.0.7",
     "nuxt": "4.3.1",
     "vue": "3.5.29",
-    "vue-router": "4.6.4",
     "vuetify-nuxt-module": "0.19.5"
   },
   "version": "1.0.0",
@@ -44,14 +43,12 @@
     "@graphql-codegen/typescript-vue-apollo": "4.1.2",
     "@nuxt/devtools": "3.2.2",
     "@nuxt/eslint": "1.15.2",
-    "@nuxtjs/eslint-module": "4.1.0",
     "@nuxtjs/stylelint-module": "5.2.1",
     "@stylistic/eslint-plugin": "5.10.0",
     "@vitejs/plugin-vue": "6.0.4",
     "@vitest/coverage-v8": "4.0.18",
     "@vue/test-utils": "2.4.6",
     "eslint": "9.39.4",
-    "eslint-plugin-nuxt": "4.0.0",
     "eslint-plugin-simple-import-sort": "12.1.1",
     "eslint-plugin-vue": "10.8.0",
     "jsdom": "28.1.0",
@@ -61,7 +58,6 @@
     "stylelint-config-standard": "40.0.0",
     "typescript": "5.9.3",
     "typescript-eslint": "8.56.1",
-    "vite-plugin-eslint2": "5.0.5",
     "vitest": "4.0.18",
     "vue-eslint-parser": "10.4.0"
   }