1. Find all (e.g. LinkedIn) the EU-based engineers working or having worked for American cloud companies.
2. Offer them a proportional salary to join and start building the EU cloud product.
3. Incentivize the engineers to top-performance by giving them bonuses, stocks, whatever ...
4. Go back to the garage engineering and cut-off the bureaucratic BS with endless PMs, milestones, JIRA boards, scrum masters, chapter masters, architects, and all other similar BS.
But EU doesn't want to do it - they rather spend money in ways so that "EU funds", which are supposedly public, end up running up to their pockets directly. Dozens of examples out there but "AI factories" being the last embodiment of that.
Furthermore, this European DARPA would be an organization with its own physical structure - its own labs. Say, with each different discipline in a different EU country.
Look into EU HORIZON programs.