Do I need a paid plan to make my project site (with subdomain) indexed in search engine?

Hi everybody,

I created a project with subdomain to build a blog, one thing I wonder is do I need to upgrade into paid plan for my site with subdomain be indexed in search engine like Google?

I want it have a sitemap like this site: https://helobacsi.webflow.io/sitemap.xml

So if I use my free plan, build a project with subdomain, is it indexed in Google search engine?