Nulling an ecxeption_ptr?

I have some classes objects of which I'd like to reuse after the occurrence of some exceptions. My question is regarding exceptions transported from other threads using exception_ptr. For example, several functions before starting operations (intended to be called by the object's user) do if (_wrkrExc) rethrow_exception(_wrkrExc);. I want to be able to reuse the object after the exception is thrown (which forces the user to deal with it). Is the exception_ptr nulled after a rethrow, or does that have to be done manually so the next check point doesn't throw again? If the latter, what would be a good design for handling it? Adding a Clear() or Reset() method the user must call before reusing the object seems to me class API bloat, and doing something like the below seems ugly at best:

try
{
    if (_wrkrExc) rethrow_exception(_wrkrExc);
}
catch (...)
{
    _wrkrExc = nullptr;
    throw;
}