This may change in the future as AI gets more commoditized and the current US admin keeps shooting itself in the foot but they are still very far ahead right now
That's not how market-based economies work...
> feed 2bln a year into it and make a compelling almost SOTA model
...and the reason is, if you give a bunch of people €2b a year and tell them "go try and make something", they'll make a ton of paperwork covering their asses and very little actual output.
This is irrespective if those people are European ("european google killer"), American ("cost plus" old US aerospace companies) or Chinese (which is why they do it a little different).
If there are no incentives to really try really hard, they won't do it.
In many high-tech cases in Europe, the formula for "let's subsidise the hell out of research and hope a commercially-viable business comes out" has a really poor track record.
Your second option - and possibly the best bet - is to find an existing company that already showed they're capable, and shower them with money, which is what French are doing with Mistral.