RuntimeError: can't create new thread at interpreter shutdown

Describe your environment

OS: Ubuntu
Python version: 3.12.0, 3.12.1, 3.12.2
SDK version: Since 1.36.0
API version: Since 1.36.0

What happened?

Exception ignored in atexit callback: <function shutdown at 0x72be9c2a93a0>
Traceback (most recent call last):
  File "/home/codespace/.python/current/lib/python3.12/logging/__init__.py", line 2271, in shutdown
    h.flush()
  File "/workspaces/opentelemetry-python/opentelemetry-sdk/src/opentelemetry/sdk/_logs/_internal/__init__.py", line 654, in flush
    thread.start()
  File "/home/codespace/.python/current/lib/python3.12/threading.py", line 992, in start
    _start_new_thread(self._bootstrap, ())
RuntimeError: can't create new thread at interpreter shutdown

Steps to Reproduce

1. Run the example here with python 3.12.0

Expected Result

No RuntimeError

Actual Result

RuntimeError

Additional context

Got this after this PR

Probably due to: https://github.com/python/cpython/issues/113964

Would you like to implement a fix?

None

Tip

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Run docs/examples/logs/example.py with Python 3.12 and reproduce the shutdown traceback. Start at opentelemetry-sdk/src/opentelemetry/sdk/_logs/_internal/init.py around flush(), then compare the behavior with the linked CPython issue; done means the example exits without the RuntimeError.