Let me emphasize a few points:
a) I don't know much about wix, but I see no reason to believe wix is penalized by G
b) I do not recommend any free web because you do not control it fully. That's a strategic decision. Many of these systems have disappeared over time, and the future of wix is not guaranteed. Nor is it guaranteed they will not change their policies in a way that no longer fits your needs. If I were
obliged to choose a free web system, I'd personally choose blogger which is more likely to survive. No misunderstanding: blogger is far from being perfect, and it is also a proprietary system with all the risks involved.
c) Even though I don't like it at all, I use wordpress. If you make this choice, be extra careful with plugins. Many are poorly written and will disappear.
Just for you to understand where I come from, I have had my own proprietary CMS for 10 years. Of course I found it considerably better than other CMSs

, but I am abandoning it because of maintenance.