app-server: compare absolute cwd paths directly

codex-rs/app-server/tests/suite/v2/turn_start.rs

@@ -56,6 +56,7 @@ use codex_protocol::config_types::ReasoningSummary;
 use codex_protocol::config_types::Settings;
 use codex_protocol::openai_models::ReasoningEffort;
 use codex_protocol::user_input::MAX_USER_INPUT_TEXT_CHARS;
+use codex_utils_absolute_path::test_support::PathBufExt;
 use core_test_support::responses;
 use core_test_support::skip_if_no_network;
 use pretty_assertions::assert_eq;
@@ -1716,7 +1717,7 @@ async fn turn_start_updates_sandbox_and_cwd_between_turns_v2() -> Result<()> {
     else {
         unreachable!("loop ensures we break on command execution items");
     };
-    assert_eq!(cwd.as_path(), second_cwd.as_path());
+    assert_eq!(cwd, second_cwd.abs());
     let expected_command = format_with_current_shell_display("echo second turn");
     assert_eq!(command, expected_command);
     assert_eq!(status, CommandExecutionStatus::InProgress);

codex-rs/app-server/tests/suite/v2/turn_start_zsh_fork.rs

@@ -32,6 +32,7 @@ use codex_app_server_protocol::TurnStatus;
 use codex_app_server_protocol::UserInput as V2UserInput;
 use codex_features::FEATURES;
 use codex_features::Feature;
+use codex_utils_absolute_path::test_support::PathBufExt;
 use core_test_support::responses;
 use core_test_support::skip_if_no_network;
 use pretty_assertions::assert_eq;
@@ -166,7 +167,7 @@ async fn turn_start_shell_zsh_fork_executes_command_v2() -> Result<()> {
     assert!(command.contains("/bin/sh -c"));
     assert!(command.contains("sleep 0.01"));
     assert!(command.contains(&release_marker.display().to_string()));
-    assert_eq!(cwd.as_path(), workspace.as_path());
+    assert_eq!(cwd, workspace.abs());
 
     mcp.interrupt_turn_and_wait_for_aborted(thread.id, turn.id, DEFAULT_READ_TIMEOUT)
         .await?;