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The general rule of thumb for cryptanalysis attacks is that they become cheaper over time (usually quicker than initially proposed), which is why finding issues (even mathematical issues that aren't yet practical) is so important.

Considering the length of time that it takes for new encryption standards to be proposed and accepted, it's important to try and stay ahead of the curve.

If you are using AES directly in your code, you should be very, very worried no matter what the research says, because you are vanishingly unlikely to have gotten it right.

Use TLS or GPG.

If you couldn't crack it before, you still can't crack it now. This attack only makes it 4 times easier to break, not even an order of magnitude.

If you count in binary, 2 bits are two orders of magnitude.