I know this particular issue was closed many years ago, but I just saw a note on the latest 2.0.0 release that notes that Search Console verification was failing..but I can't find an open issue.
Let me say this in case others find this like I did: it's not the job of a Tag Module to do Search Console-related work.
The GTM verification method provided by Google is flawed....this is a Google screwup....one that's been going on for years.Fortunately, Google provides other options to get verified. I had success with the DNS record method. It's a ridiculous requirement because, in a larger company, DNS records are highly sensitive and cannot be easily adjusted without lots of approvals. But I did it.
Google is a co-sponsor of this Module, and they need to get off their asses and fix this.