Trying out nx script dependencies

[Janpot]

Adding following dependencies for now:

• check-types should only run when dependency builds have run, we can now remove the tsup &&
  from all the scripts
• build should only run when dependency builds have run, this was already happening, also adding a output folder
• before starting dev, run the build at least once. Alternative for Add build step after installing dependencies #2515?

We're also experimenting with turborepo in mui/mui-x#9928 but wanted to test first what we can do without introducing new dependencies. We will need to align on a company wide solution.