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Any suggestions on how Bitcoin can deal with that fee-recycling attack? The 2200 scenario given as an example halfway through the piece?
Currently Bitcoin has a delay of something like 50 blocks before the block reward is spendable. This imposes a minimum size on the amount of float needed to pull off the attack.

One strategy any proof-of-work chain can use is to just increase the delay. This doesn't mitigate the attack vector though so much as just make it a bit more expensive to get started. It also has imposes some extra costs on miners and may discourage smaller miners from even joining the network.