### Apache Airflow version

2.7.0

### What happened

After upgrading to `apache-airflow-providers-amazon==8.5.1`, I am no longer able to view logs from previous run attempts. 

Airflow is able to find the log stream successfully, but there's no content viewable (even though there are logs in the actual streams):
```
REDACTED.us-west-2.compute.internal
*** Reading remote log from Cloudwatch log_group: REDACTED log_stream: dag_id=REDACTED/run_id=REDACTED/task_id=REDACTED/attempt=1.log.
```

I believe this issue occurred from #33231 -  Looking at the [CloudWatch Logs code](https://github.com/apache/airflow/blob/providers-amazon/8.5.1/airflow/providers/amazon/aws/log/cloudwatch_task_handler.py#L109-L133), I think `task_instance.start_date` and `task_instance.end_date` somehow refer to its __latest__ run, and so the log contents are getting filtered out on previous attempts.


### What you think should happen instead

_No response_

### How to reproduce

1. Configure environment with remote CloudWatch logging
2. Run task
3. Clear task and re-run
4. The logs for the first attempt now no longer show

### Operating System

Debian 11

### Versions of Apache Airflow Providers

apache-airflow-providers-amazon==8.5.1

### Deployment

Other

### Deployment details

_No response_

### Anything else

_No response_

### Are you willing to submit PR?

- [ ] Yes I am willing to submit a PR!

### Code of Conduct

- [X] I agree to follow this project's [Code of Conduct](https://github.com/apache/airflow/blob/main/CODE_OF_CONDUCT.md)

session.query(DagRun).delete()
    def test_hook(self):
        assert isinstance(self.cloudwatch_task_handler.hook, AwsLogsHook)
    def test_handler(self):
        self.cloudwatch_task_handler.set_context(self.ti)
        assert isinstance(self.cloudwatch_task_handler.handler, CloudWatchLogHandler)
    def test_write(self):
        handler = self.cloudwatch_task_handler
        handler.set_context(self.ti)
        messages = [str(i) for i in range(10)]
        with mock.patch("watchtower.CloudWatchLogHandler.emit") as mock_emit:
            for message in messages:
                handler.handle(message)
            mock_emit.assert_has_calls([call(message) for message in messages])
    def test_event_to_str(self):
        handler = self.cloudwatch_task_handler
        current_time = int(time.time()) * 1000
        events = [
            {"timestamp": current_time - 2000, "message": "First"},
            {"timestamp": current_time - 1000, "message": "Second"},
            {"timestamp": current_time, "message": "Third"},
        ]
        assert [handler._event_to_str(event) for event in events] == (
            [
                f"[{get_time_str(current_time-2000)}] First",
                f"[{get_time_str(current_time-1000)}] Second",
                f"[{get_time_str(current_time)}] Third",
            ]
        )
    def test_read(self):