fix(ng-dev/caretaker): redact raw error objects from caretaker logs

[josephperrott]

Addresses ce4ab3d8. Redacts raw error objects in caretaker logs to prevent sensitive token leakage.

[gemini-code-assist]

Code Review

This pull request improves error logging across several caretaker modules by safely handling caught errors, ensuring stack is defined before logging, and converting non-Error objects to strings. A review comment suggests simplifying the logging logic in update-github-team.ts to avoid duplicate log entries, as Error.prototype.stack already includes the error message.

[gemini-code-assist]

In Node.js, Error.prototype.stack already includes the error message as its first line. Logging both e.message and e.stack at the same Log.debug level results in duplicate log entries. We can simplify this by logging e.stack if it exists, and falling back to e.message otherwise.

    if (e instanceof Error) {
      Log.debug(e.stack ?? e.message);
    } else {
      Log.debug(String(e));
    }