Rollup merge of #126036 - Oneirical:the-intelligent-intestor, r=jieyouxu

Migrate `run-make/short-ice` to `rmake`

Part of #121876 and the associated [Google Summer of Code project](https://blog.rust-lang.org/2024/05/01/gsoc-2024-selected-projects.html).

try-job: x86_64-msvc

src/tools/run-make-support/src/rustc.rs

@@ -105,6 +105,12 @@ impl Rustc {
         self
     }
 
+    //Adjust the backtrace level, displaying more detailed information at higher levels.
+    pub fn set_backtrace_level<R: AsRef<OsStr>>(&mut self, level: R) -> &mut Self {
+        self.cmd.env("RUST_BACKTRACE", level);
+        self
+    }
+
     /// Specify path to the output file. Equivalent to `-o`` in rustc.
     pub fn output<P: AsRef<Path>>(&mut self, path: P) -> &mut Self {
         self.cmd.arg("-o");

src/tools/tidy/src/allowed_run_make_makefiles.txt

@@ -214,7 +214,6 @@ run-make/sepcomp-cci-copies/Makefile
 run-make/sepcomp-inlining/Makefile
 run-make/sepcomp-separate/Makefile
 run-make/share-generics-dylib/Makefile
-run-make/short-ice/Makefile
 run-make/silly-file-names/Makefile
 run-make/simd-ffi/Makefile
 run-make/split-debuginfo/Makefile