Profilers do not work in threads

Bug report

Bug description:

This issue is related to, but not the same as #110770.
Running two profilers in parallel threads raises an unexpected error.
It's not clear at all that the profiler will not work in parallel.
Either this is a bug or there should be a prominent warning in the docs.

import time
from cProfile import Profile
from threading import Thread


def task_sleep() -> None:

    pr = Profile()
    pr.enable()
    time.sleep(1)
    pr.disable()


t1 = Thread(target=task_sleep)
t2 = Thread(target=task_sleep)

t1.start()
t2.start()

t1.join()
t2.join()

Exception in thread Thread-2 (task_sleep):
ValueError: Another profiling tool is already active

CPython versions tested on:

3.12

Operating systems tested on:

Windows

Linked PRs

• gh-124671

Reproduce the failure with the provided cProfile.Profile and threading example on Python 3.12, then inspect the profiler and thread interaction. Review linked PR gh-124671 and determine whether the accepted outcome is parallel profilers working without the ValueError or a prominent documentation warning.