Asset Listeners details not visible in task logs

### Apache Airflow version

3.0.0

### If "Other Airflow 2 version" selected, which one?

_No response_

### What happened?

When we use asset listeners, details are not showing in task logs. In AF2 this was working

**AF2:**


**AF3**

### What you think should happen instead?

_No response_

### How to reproduce

1. Create a file with name `listener_code.py` and pace it in `/flies/dags` folder

```
from airflow.sdk import Asset
from airflow.listeners import hookimpl

@hookimpl
def on_asset_changed(asset: Asset):
"""Execute when dataset change is registered."""
print("I am always listening for any Dataset changes and I heard that!")

print("Done!")

@hookimpl
def on_asset_created(asset: Asset):
"""Execute when dataset change is registered."""
print("I am always listening for any Dataset created")

print("dataset created")

@hookimpl
def on_task_instance_success(previous_state, task_instance
):
"""Execute when task state changes to SUCCESS. previous_state can be None."""
print("I am always listening for any TaskInstance to succeed and I heard that!")
print("Now I fail on purpose...")

@hookimpl
def on_task_instance_running(previous_state, task_instance
):
"""Execute when task state changes to SUCCESS. previous_state can be None."""
print("task running listener")
print("testing")

```

2. Create a file with name `my_listener_plugin.py` and place it in `/files/plugin` folder

```
`from airflow.plugins_manager import AirflowPlugin
from plugins import listener_code

class MyListenerPlugin(AirflowPlugin):
name = "my_listener_plugin"
listeners = [listener_code]
`
```

4. Put below DAG in files folder

```
from airflow.sdk import Asset
from airflow.decorators import dag, task

from pendulum import datetime

URI = "file://include/bears"
MY_DATASET = Asset(URI)

@dag(
start_date=datetime(2023, 12, 1),
schedule=None,
catchup=False,
tags=["Listeners"],
)
def listener_test():
@task(
outlets=[MY_DATASET],
)
def get_bear():
print("hi")

get_bear()

listener_test()
```

5. Run `breeze start-airflow --executor CeleryExecutor --backend postgres --dev-mode`
6. Exeute DAG `listener_test`
7. Verify print statement `"I am always listening for any Dataset changes and I heard that!"` is not visible in task logs. It's only visible in API server logs with `PydanticSerializationUnexpectedValue`

```
I am always listening for any Dataset changes and I heard that!
Done!
[2025-04-09T07:15:39.180+0000] {task_instances.py:398} INFO - TI 01961967-87af-7ed4-923a-63bd7cf04494 state updated to success: 1 row(s) affected
INFO 127.0.0.1:54020 - "PATCH
/execution/task-instances/01961967-87af…
HTTP/1.1" 204
[2025-04-09T07:15:46.866+0000] {manager.py:120} INFO - DAG bundles loaded: dags-folder
INFO 192.168.97.1:57408 - "GET
/ui/grid/listener_test?limit=10&order_b…
HTTP/1.1" 200
[2025-04-09T07:15:46.870+0000] {manager.py:120} INFO - DAG bundles loaded: dags-folder
INFO 192.168.97.1:57390 - "GET
/ui/dags/recent_dag_runs?dag_ids=listen…
HTTP/1.1" 200
INFO 192.168.97.1:57392 - "GET
/api/v2/dags/listener_test/dagRuns?limi…
HTTP/1.1" 200
[2025-04-09T07:15:48.108+0000] {manager.py:120} INFO - DAG bundles loaded: dags-folder
INFO 192.168.97.1:57390 - "GET
/api/v2/dags/listener_test/tasks/get_be…
HTTP/1.1" 200
[2025-04-09T07:15:48.112+0000] {manager.py:120} INFO - DAG bundles loaded: dags-folder
INFO 192.168.97.1:57408 - "GET
/api/v2/dags/listener_test/dagRuns/manu…
HTTP/1.1" 200
INFO 192.168.97.1:57392 - "GET
/api/v2/dags/listener_test/dagRuns/manu…
HTTP/1.1" 200
/usr/local/lib/python3.9/site-packages/pydantic/type_adapter.py:572 UserWarning: Pydantic serializer warnings:
PydanticSerializationUnexpectedValue(Expected `StructuredLogMessage` - serialized value may not be as expected [input_value=StructuredLogMessage(time...et_bear/attempt=1.log']), input_type=StructuredLogMessage])
PydanticSerializationUnexpectedValue(Expected `str` - serialized value may not be as expected [input_value=StructuredLogMessage(time...et_bear/attempt=1.log']), input_type=StructuredLogMessage])
INFO 192.168.97.1:57392 - "GET
/api/v2/dags/listener_test/dagRuns/manu…
HTTP/1.1" 200

```

### Operating System

Linux

### Versions of Apache Airflow Providers

_No response_

### Deployment

Official Apache Airflow Helm Chart

### 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)