Can’t use captcha solver api services due to missing the element “data-sitekey”

I’m tryingto to use a captcha solving service but all of them request a code that’s attached to an element called “data-sitekey” that should be in the HTML of a page with recaptcha on it. The problem is that I can’t find data-sitekey for some websites that that require login (such as wsj.com, nytimes.com etc). Is there a way to resolve this issue?

I couldn’t find a way to extract “data-sitekey” for some websites.