showAuth/showAuthUser render nothing with a custom CLAUDE_CONFIG_DIR

Summary

showAuth/showAuthUser silently render nothing whenever CLAUDE_CONFIG_DIR is set to anything other than the default ~/.claude. No error is shown — the HUD just omits the auth segment.

getClaudeConfigJsonPath() in src/claude-config-dir.ts computes the account/state JSON path by string-concatenating .json onto the resolved config dir:

export function getClaudeConfigJsonPath(homeDir: string): string {
  return `${getClaudeConfigDir(homeDir)}.json`;
}

For the default profile (no env var set), getClaudeConfigDir returns homeDir/.claude, and the concatenation happens to produce the real file — Claude Code stores the default profile's state as a sibling of the .claude directory (~/.claude.json), not nested inside it.

But when CLAUDE_CONFIG_DIR is set to a custom directory (e.g. ~/.claude-work), Claude Code actually nests that profile's state file inside the directory (~/.claude-work/.claude.json), not as a sibling. The concatenation instead guesses a nonexistent path (~/.claude-work.json). readAuthInfo()'s fs.statSync throws ENOENT on that path, the catch swallows it, and the function returns { method: null, user: null } with no diagnostic.

This affects anyone running Claude Code with a custom CLAUDE_CONFIG_DIR.

Steps to Reproduce

1. export CLAUDE_CONFIG_DIR=~/.claude-work (any custom, non-default path that has already been used to log in via Claude Code, so ~/.claude-work/.claude.json exists with a real oauthAccount)
2. Enable display.showAuthUser: true in claude-hud's config
3. Run the status line

Expected Behavior

The HUD shows the logged-in account (e.g. alice), same as it does for the default ~/.claude profile.

Actual Behavior

The auth segment is silently omitted — no account, no error.

Environment

• OS: macOS (Darwin 25.5.0)
• Node/Bun version: v22.23.2
• Claude Code version: 2.1.258

Logs or Screenshots

N/A — the failure is silent (caught ENOENT, no log output). Confirmed via a one-off script calling readAuthInfo() directly with CLAUDE_CONFIG_DIR pointed at a real custom profile: returns { method: null, user: null } despite a valid oauthAccount sitting in $CLAUDE_CONFIG_DIR/.claude.json.

A fix + tests are ready; PR incoming.