### Description

Going to Airflow web UI, Browse>DAG Run displays the list of runs, but there is no way to search or filter based on the text in the "Note" column.

### Use case/motivation

It is possible to do a free text search for the "Run Id" field. The Note field may contain pieces of information that may be relevant to find, or to filter on the basis of these notes.

### Related issues

Sorting by Note in List Dag Run fails: 
https://github.com/apache/airflow/issues/30041

### Are you willing to submit a 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)

self,
        message: str | Markup,
        category: str = "info",
        roles: list[str] | None = None,
        html: bool = False,
    ):
        self.category = category
        self.roles = roles
        self.html = html
        self.message = Markup(message) if html else message
    def should_show(self, securitymanager: SecurityManager) -> bool:
        """Determine if the user should see the message.
        The decision is based on the user's role. If ``AUTH_ROLE_PUBLIC`` is
        set in ``webserver_config.py``, An anonymous user would have the
        ``AUTH_ROLE_PUBLIC`` role.
        """
        if self.roles:
            current_user = securitymanager.current_user
            if current_user is not None:
                user_roles = {r.name for r in securitymanager.current_user.roles}
            elif "AUTH_ROLE_PUBLIC" in securitymanager.appbuilder.get_app.config:
                
                user_roles = {securitymanager.appbuilder.get_app.config["AUTH_ROLE_PUBLIC"]}
            else:
                
                return False
            if not user_roles.intersection(set(self.roles)):
                return False
        return True