Rollup merge of #84484 - jyn514:check-tools, r=Mark-Simulacrum

Don't rebuild rustdoc and clippy after checking bootstrap

This works by unconditionally passing -Z unstable-options to the
compiler. This has no affect in practice since bootstrap doesn't use
`deny(rustc::internal)`.

Fixes https://github.com/rust-lang/rust/issues/82461.

r? ```@Mark-Simulacrum```

src/librustdoc/lib.rs

@@ -16,7 +16,7 @@
 #![feature(type_ascription)]
 #![feature(iter_intersperse)]
 #![recursion_limit = "256"]
-#![deny(rustc::internal)]
+#![warn(rustc::internal)]
 
 #[macro_use]
 extern crate lazy_static;