from contextlib import ExitStack, contextmanager

@contextmanager
def second():
    try:
        yield 1
    except Exception as exc:
        raise Exception("new exception") from exc

@contextmanager
def first():
    try:
        yield 1
    except Exception as exc:
        raise exc

with ExitStack() as ctx:
    ctx.enter_context(second())
    ctx.enter_context(first())
    raise RuntimeError("bad")