No need to do anything in Webstudio. You add your domain as a property right in Search Console.
To have your pages indexed you should check page settings. If indexing is set to true, your pages will get indexed (with or without Search Console property being configured).
What Holger said but if you are trying to verify your site the name aka google site verification goes into the property field and the content goes into the content field
At first the <meta tag provided by google search console I put it in custom code I deployed on cloudflare it didn't work but on netlify it worked. Could the problem come from cloudflare or not?
When I created in custom code and deployed it to Netlify it worked but for Cloudflare it didn't and I want to deploy it to Cloudflare. Is there a place in Cloudflare to see the restrictions?