please delete the item using redux

My first question would be, in your deleteTask method what is being returned here? Does a delete method actually return the task you deleted?

.then(({ data: task }) => {
    dispatch({ type: DELETE_TASK, task })
}

If not, another way you can address this is by changing the task in your dispatch to the id you are passing to the deleteTask method:

dispatch({ type: DELETE_TASK, id });

Then use the filter method instead of map in your reducer to return the tasks that don’t match that deleted task’s id, effectively “deleting” it from your state:

case DELETE_TASK: {
  return {
     list: state.list.filter((it) => {
         return action.id !== it.id;
     }),
  }
}