SQLite3 multithreading cache inconsistency

Bug report

Bug description:

When using SQLite3 in multi-threading application, the fetch reuslts are not consistent. After some testing, this seems to be caused by the caching.
The SQLite threading mode is serialized.
This issue only exists in python 3.12 and 3.13. No issue in 3.11.
Currently solution is to set cached_statements=0 when connect to the database.

A simple demo to reproduce the error:

import sqlite3
import threading

KB = sqlite3.connect(
    "example.db", check_same_thread=False
)

def execute_query():
    cursor = KB.cursor()
    cursor.execute("SELECT * FROM test_table")
    result = cursor.fetchall()
    assert result == [(1, 'test1'), (2, 'test2'), (3, 'test3')], str(result)
    return result

def run_threads():
    threads = []
    for i in range(50):
        thread = threading.Thread(target=execute_query)
        threads.append(thread)
        thread.start()

    for thread in threads:
        thread.join()

def test_multithreading():
    cursor = KB.cursor()

    cursor.execute(
        """CREATE TABLE IF NOT EXISTS test_table (id INTEGER PRIMARY KEY, value TEXT)"""
    )
    KB.commit()

    cursor.execute("""DELETE FROM test_table""")
    KB.commit()

    cursor.execute("""INSERT INTO test_table (value) VALUES ('test1')""")
    cursor.execute("""INSERT INTO test_table (value) VALUES ('test2')""")
    cursor.execute("""INSERT INTO test_table (value) VALUES ('test3')""")
    KB.commit()

    run_threads()

    KB.close()

if __name__ == "__main__":
    test_multithreading()

Test output: (Different in each run because of inconsistent fetch results)

Exception in thread Thread-3 (execute_query):
Traceback (most recent call last):
  File "/usr/lib/python3.12/threading.py", line 1073, in _bootstrap_inner
    self.run()
  File "/usr/lib/python3.12/threading.py", line 1010, in run
Exception in thread Thread-7 (execute_query):
Traceback (most recent call last):
  File "/usr/lib/python3.12/threading.py", line 1073, in _bootstrap_inner
    self._target(*self._args, **self._kwargs)
  File "/home/user/tmp/kb_test.py", line 13, in execute_query
    self.run()
  File "/usr/lib/python3.12/threading.py", line 1010, in run
Exception in thread Thread-12 (execute_query):
Traceback (most recent call last):
  File "/usr/lib/python3.12/threading.py", line 1073, in _bootstrap_inner
    assert result == [(1, 'test1'), (2, 'test2'), (3, 'test3')], str(result)
    self._target(*self._args, **self._kwargs)
AssertionError: [(1, 'test2'), (3, 'test3')]
  File "/home/user/tmp/kb_test.py", line 13, in execute_query
Exception in thread Thread-1 (execute_query):
Traceback (most recent call last):
  File "/usr/lib/python3.12/threading.py", line 1073, in _bootstrap_inner
    self.run()
    assert result == [(1, 'test1'), (2, 'test2'), (3, 'test3')], str(result)
    self.run()
AssertionError: [(3, 'test3')]
  File "/usr/lib/python3.12/threading.py", line 1010, in run
  File "/usr/lib/python3.12/threading.py", line 1010, in run
    self._target(*self._args, **self._kwargs)
  File "/home/user/tmp/kb_test.py", line 13, in execute_query
    self._target(*self._args, **self._kwargs)
  File "/home/user/tmp/kb_test.py", line 13, in execute_query
    assert result == [(1, 'test1'), (2, 'test2'), (3, 'test3')], str(result)
    assert result == [(1, 'test1'), (2, 'test2'), (3, 'test3')], str(result)
AssertionError: [(None, None), (), (2, 'test2'), (), (), (2, 'test2'), (0, None), (1, 'test1'), (2, 'test2'), (3, 'test3')]
AssertionError: [(3, 'test3')]

CPython versions tested on:

3.12, 3.13

Operating systems tested on:

Linux

从提供的 Python sqlite3.connect() 复现程序开始，在运行 50 线程查询并改变 cached_statements 的同时，对比 Python 3.11、3.12 和 3.13。调查 serialized SQLite 线程模式下 sqlite3 语句缓存的行为。当多线程获取能够稳定返回预期的三行，且不需要 cached_statements=0 时，即表示完成。