[Python] asyncio - wait for each task in a dynamic list to finish or be cancelled

I have a list of asyncio tasks: [task1, task2, task3]. And each task can append more tasks to this list, e.g., task3 might append task4.

How can I wait for all tasks in this dynamic list to finish or be cancelled?

I tried await asyncio.gather(*[task1, task2, task3]), but it doesn't wait for tasks created by task1, task2 or task3.

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