false-positive `name-defined` regression with dataclasses and shadowing

Bug Report

This file:

from dataclasses import dataclass
import collections


@dataclass
class Shadow:

    collections: collections.deque
    other: collections.defaultdict


print(Shadow(collections.deque(), collections.defaultdict()))

is perhaps a bit unorthodox, but runs fine, because the collections: ... doesn't actually shadow the module when defining other.

Actual Behavior

mypy v0.950 was happy with it, but mypy v0.960 claims that:

test.py:9: error: Name "collections.defaultdict" is not defined

Introducing commit

Bisected to 03901ef657daf6f477e6fe933c42ac270cf5034b ("Running dataclass transform in a later pass to fix crashes (#12762)", @JukkaL)

Your Environment

• Mypy version used: v0.960
• Mypy command-line flags: none
• Mypy configuration options from mypy.ini (and other config files): none
• Python version used: 3.10.4
• Operating system and version: Archlinux

Reproduce the report with the provided test.py example, then inspect commit 03901ef657daf6f477e6fe933c42ac270cf5034b and the dataclass-transform changes it introduced. Trace why the annotation on collections affects the later annotation and verify that the example no longer produces a false-positive name-defined error.