Nah, we will be fine.
AI isn't sustainable, financially or otherwise. It will collapse and take a big chunk of the US economy with it.
While some aspects of AI are overstated, it has had a very real and tangible impact at least in the US and China in a number of white collar roles.
Additonally, the fact that China is allocating $295B [0] for an AI buildout as is the US [1] and are using it to also help their domestic GreenTech and DeepTech ecosystems means the AI boom is having a downstream impact in multiple sectors.
EU states already missed out on the Dotcom, Social Media, Cloud, IoT, EV, and GreenTech booms at the expense of the US and China. If your sentiment is the norm within Europe, then both the US and China are correct to view the EU states as junior partners. States that control the technological frontier also control their destiny.
[0] - https://www.reuters.com/world/china/china-prepares-295-billi...
[1] - https://www.blackrock.com/us/individual/insights/energy-and-...
The right attitude for change is to see how you can get to the top of it first, to make sure you get to control the new tech in way that are ethical and congruent with your values, otherwise your rival will get to it first, and weaponize it against you if you sleep on it because you'd rather not have it.
I got news for you. If the US economy goes down, EU goes down with it, just like in 2009.