Both bubble and Jenga tower are examples of unstable systems that can persist for an unexpectedly long time.

They're good analogies. It's possible to keep a Jenga tower going forever, just extremely difficult once it reaches the point of being all middle pieces.

It's certainly not possible to keep a Jenga Tower growing forever. For each floor you add you need to leave at least one piece in a lower floor. Eventually you run out of pieces. It's possible to "complete" a Jenga Tower, but at that point it has to stop growing.

But it doesn't, strictly speaking, have to stop going. The bottom floor could be removed and placed at the top.

Also easier if you can hold up bits of it with strings from the ceiling, which is what the EPA is doing for data centers here.