Path migration part 3: $nu paths (#13368)

# Description
Part 3 of replacing `std::path` types with `nu_path` types added in
#13115. This PR targets the paths listed in `$nu`. That is, the home,
config, data, and cache directories.

crates/nu-command/src/filesystem/cd.rs

@@ -1,6 +1,5 @@
 use nu_cmd_base::util::get_init_cwd;
 use nu_engine::command_prelude::*;
-use nu_path::AbsolutePathBuf;
 use nu_utils::filesystem::{have_permission, PermissionResult};
 
 #[derive(Clone)]
@@ -46,8 +45,8 @@ impl Command for Cd {
         // user can use `cd` to recover PWD to a good state.
         let cwd = engine_state
             .cwd(Some(stack))
-            .map(AbsolutePathBuf::into_std_path_buf)
-            .unwrap_or(get_init_cwd());
+            .ok()
+            .unwrap_or_else(get_init_cwd);
 
         let path_val = {
             if let Some(path) = path_val {
@@ -66,7 +65,7 @@ impl Command for Cd {
                     if let Some(oldpwd) = stack.get_env_var(engine_state, "OLDPWD") {
                         oldpwd.to_path()?
                     } else {
-                        cwd
+                        cwd.into()
                     }
                 } else {
                     // Trim whitespace from the end of path.

crates/nu-command/src/filesystem/rm.rs

@@ -135,12 +135,9 @@ fn rm(
     let home: Option<String> = nu_path::home_dir().map(|path| {
         {
             if path.exists() {
-                match nu_path::canonicalize_with(&path, &currentdir_path) {
-                    Ok(canon_path) => canon_path,
-                    Err(_) => path,
-                }
+                nu_path::canonicalize_with(&path, &currentdir_path).unwrap_or(path.into())
             } else {
-                path
+                path.into()
             }
         }
         .to_string_lossy()