Multilanguage plugin with automatic translation support

Hi,

I’ve used manual translation plugins like WPML or Polylang in some projects before. But now, one client needs multilanguage support in his site but has no budget to hire someone to do manual translations and no time to do this task himself. So, I’m looking for a multilanguage plugin that uses Google Translate, DeepL or other automatic translation service available to translate content.

I’ve made a bit of research and found some plugins such as TranslatePress, Google Website Translator, Weglot, etc. but I’m not sure if any of them fits my needs. The requirements are:

1) Transparent automatic translation with minimal work on the part of the client
2) Three different languages in total
3) No required “Translated with Google Translate/DeepL/etc.” badge besides the language switcher
4) Preserve language selection across pages
5) Free with no word limits
6) Compatible with WooCommerce

I see that some of the plugins I mentioned before have number of languages or word limits. Does something like this exist? Any recommendations?

Thanks in advance