Remove temporary `src/plugins/es_ui_shared` eslint overrides

[spalger]

In order to move forward with #49244 we needed to disable some rules in src/plugins/es_ui_shared. We need to remove the related overrides and get the package passing these rules pretty soon.

// .eslintrc.js
{
  files: ['src/plugins/es_ui_shared/**/*.{js,ts,tsx}'],
  rules: {
    'react-hooks/exhaustive-deps': 'off',
  },
},

• Global flyout (Fix eslint violations for ES UI Global flyout #73970)
• JSON editor (Fix eslint violations for ES UI JSON editor #73971)
• Form hook lib (Fix eslint violations for ES UI form hook lib #73972)

[elasticmachine]

Pinging @elastic/es-ui (Team:Elasticsearch UI)

[cjcenizal]

@sebelga Should this stay open? I think there are still other parts of ES UI shared that still need to be updated, right?

[sebelga]

@cjcenizal Yes this should stay open, it automatically closed with the PR merged, which is strange as I only used it in a sentence. ("...one step closer to close (#)49554"). Will need to be even more cautious in the future! 😊