settings: Add tilde expansion support for LSP binary path (#41715)

Closes #38227

Release Notes:

- Added tilde expansion support for LSP binary path in `settings.json`

crates/worktree/src/worktree.rs

@@ -2386,16 +2386,25 @@ impl Snapshot {
 
     /// Resolves a path to an executable using the following heuristics:
     ///
-    /// 1. If the path is relative and contains more than one component,
+    /// 1. If the path starts with `~`, it is expanded to the user's home directory.
+    /// 2. If the path is relative and contains more than one component,
     ///    it is joined to the worktree root path.
-    /// 2. If the path is relative and exists in the worktree
+    /// 3. If the path is relative and exists in the worktree
     ///    (even if falls under an exclusion filter),
     ///    it is joined to the worktree root path.
-    /// 3. Otherwise the path is returned unmodified.
+    /// 4. Otherwise the path is returned unmodified.
     ///
     /// Relative paths that do not exist in the worktree may
     /// still be found using the `PATH` environment variable.
     pub fn resolve_executable_path(&self, path: PathBuf) -> PathBuf {
+        if let Some(path_str) = path.to_str() {
+            if let Some(remaining_path) = path_str.strip_prefix("~/") {
+                return home_dir().join(remaining_path);
+            } else if path_str == "~" {
+                return home_dir().to_path_buf();
+            }
+        }
+
         if let Ok(rel_path) = RelPath::new(&path, self.path_style)
             && (path.components().count() > 1 || self.entry_for_path(&rel_path).is_some())
         {