[clang-tools-extra] [clang-tidy] Fix erroneous warning to make deleted function public (PR #182577)

[Victor Chernyakin via cfe-commits]

localspook wrote:

I'll give this a couple days if anyone else has comments, then merge it.

Also, I've edited the description to add "fixes #135249", since I do believe this PR is a solution to it. If others disagree, do say so.

https://github.com/llvm/llvm-project/pull/182577