logging library doesn't support Exceptions

The `logger` in `firebase_functions` doesn't seem to provide reasonable support for exceptions.

In [the example](https://firebase.google.com/docs/functions/writing-and-viewing-logs?gen=2nd#python_2), firebase suggests extracting a portion of the error and including it:

```
try
...
except:
e = sys.exc_info()[0]
# Attach an error object as the second argument
logger.error("Unable to read quote from Firestore, sending default instead", error=e)
```

However this fails with an error:

```
../../../../Library/Caches/pypoetry/virtualenvs/oasis-zYbk3Ww0-py3.11/lib/python3.11/site-packages/firebase_functions/logger.py:130: in error
write(_entry_from_args(LogSeverity.ERROR, *args, **kwargs))
../../../../Library/Caches/pypoetry/virtualenvs/oasis-zYbk3Ww0-py3.11/lib/python3.11/site-packages/firebase_functions/logger.py:95: in write
print(_json.dumps(_remove_circular(entry)), file=write_file)
../../../../.pyenv/versions/3.11.7/lib/python3.11/json/__init__.py:231: in dumps
return _default_encoder.encode(obj)
../../../../.pyenv/versions/3.11.7/lib/python3.11/json/encoder.py:200: in encode
chunks = self.iterencode(o, _one_shot=True)
../../../../.pyenv/versions/3.11.7/lib/python3.11/json/encoder.py:258: in iterencode
return _iterencode(o, 0)
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

self = , o =

def default(self, o):
"""Implement this method in a subclass such that it returns
a serializable object for ``o``, or calls the base implementation
(to raise a ``TypeError``).

For example, to support arbitrary iterators, you could
implement default like this::

def default(self, o):
try:
iterable = iter(o)
except TypeError:
pass
else:
return list(iterable)
# Let the base class default method raise the TypeError
return JSONEncoder.default(self, o)

"""
> raise TypeError(f'Object of type {o.__class__.__name__} '
f'is not JSON serializable')
E TypeError: Object of type type is not JSON serializable

../../../../.pyenv/versions/3.11.7/lib/python3.11/json/encoder.py:180: TypeError
```

Moreover it's not really an ideal API to log a subset of an exception. Ideally the entire stack trace would be included.

If you instead simply `print` the error, you can see a reasonable stack trace in the logs for the function.

I'd expect the example to not throw. I'd also expect the logging API to explicitly support logging Exceptions with stack traces

firebase_functions/logger.py から始め、特に error()、write()、_entry_from_args() を確認してから、ドキュメントにある Firebase のロギング例と、ここに示されている JSON シリアライズの失敗を比較します。完了条件は、Exception のロギングでエラーが発生しなくなり、ロギング API が関数のログに Exception の完全なスタックトレースを含めることです。

索引モデルが issue の本文から書いたものです。