Draft: #3537135: Update UI packages, upgrade to Vite 7 and Storybook 9

• npm audit fix — done in !1325 (merged).
• npm update
• Upgrade to Vite 7
• Require Node.js 22 (necessary for Vite 7)
• Upgrade to Storybook 9 (necessary for Vite 7)
• Ensure importing WASM files works both in production and dev mode
• Some stories are broken, verify that they're also broken in 1.x, or fix them