Typed decorator with parameters

Write a typed decorator with parameters. It should add an argument to the decorated function. Example:

from threading import Lock

my_lock = Lock()

@locked(my_lock)
def function1(lock: Lock, arg: int) -> int:
    return arg + 1

@locked(my_lock)
def function2(lock: Lock, name: str, surname: str) -> str:
    return name + surname

# Inside 'locked', the code roughly looks like this:
# python
# with passed_lock:
#     return function(passed_lock, *args, **kwargs)

# The star question: how to make it both a decorator and a context manager?

# The star question: how to make it both a decorator and a context manager?
# The star question: how to make it both a decorator and a context manager?

def locked(): # TOOO