Issue description

Migrate on built-in webpack logger API https://webpack.js.org/api/logging/

Technical info

• Webpack Bundle Analyzer version: latest
• Webpack version: any
• Node.js version: any
• npm/yarn version: any
• OS: any

Debug info

Allow to filter and configure logger options from configuration(s) + allow to collect logs from stats

What other Webpack plugins were used?

Irrelevant