**Description**

Currently `BaseOperator` and `XComArgs` implements the same logic of `__lshift__`, `__rshift__` and others "chain" operations (`>>`, `<<`). It seems resonable to abstract this logic into `TaskMixin` to introduce some DRYness especially because the new concept of `TaskGroup` will also implement the same methods.

**Use case / motivation**

Limit duplication of logic.

**Related Issues**

https://github.com/apache/airflow/pull/10827#issuecomment-691927501
#10153 

airflow/models/baseoperator.py
"""Returns dictionary of all global extra links"""
        from airflow import plugins_manager
        plugins_manager.initialize_extra_operators_links_plugins()
        if plugins_manager.global_operator_extra_links is None:
            raise AirflowException("Can't load operators")
        return {link.name: link for link in plugins_manager.global_operator_extra_links}
    @prepare_lineage
    def pre_execute(self, context: Any):
        """
        This hook is triggered right before self.execute() is called.
        """
    def execute(self, context: Any):
        """
        This is the main method to derive when creating an operator.
        Context is the same dictionary used as when rendering jinja templates.
        Refer to get_template_context for more context.
        """
        raise NotImplementedError()
    @apply_lineage
    def post_execute(self, context: Any, result: Any = None):