fixed the bug ~ | path type return empty string (#9853)

- this PR should close #9849 
- fixes #9849

crates/nu-command/src/path/type.rs

@@ -1,5 +1,6 @@
 use std::path::Path;
 
+use nu_path::expand_tilde;
 use nu_protocol::ast::Call;
 use nu_protocol::engine::{EngineState, Stack};
 use nu_protocol::{
@@ -78,7 +79,12 @@ If nothing is found, an empty string will be returned."#
 }
 
 fn r#type(path: &Path, span: Span, _: &Arguments) -> Value {
-    let meta = std::fs::symlink_metadata(path);
+    let meta = if path.starts_with("~") {
+        let p = expand_tilde(path);
+        std::fs::symlink_metadata(p)
+    } else {
+        std::fs::symlink_metadata(path)
+    };
 
     Value::string(
         match &meta {

crates/nu-command/tests/commands/path/type_.rs

@@ -50,5 +50,14 @@ fn returns_type_of_existing_directory() {
         ));
 
         assert_eq!(actual.out, "file");
+
+        let actual = nu!(pipeline(
+            r#"
+                echo "~"
+                | path type
+            "#
+        ));
+
+        assert_eq!(actual.out, "dir");
     })
 }