Rollup merge of #81675 - poliorcetics:respect-shortness, r=jyn514

Make rustdoc respect `--error-format short` in doctests

Note that this will not work with `cargo test`, only with `rustdoc --test`, I'll have to modify `cargo` as well.

Fix #81662.

`@rustbot` label +T-rustdoc +A-doctests

src/librustdoc/doctest.rs

@@ -296,7 +296,12 @@ fn run_test(
         }
     });
     if let ErrorOutputType::HumanReadable(kind) = options.error_format {
-        let (_, color_config) = kind.unzip();
+        let (short, color_config) = kind.unzip();
+
+        if short {
+            compiler.arg("--error-format").arg("short");
+        }
+
         match color_config {
             ColorConfig::Never => {
                 compiler.arg("--color").arg("never");