chore(types): split out lint and type commands to be per-package

[runspired]

Follow Up Needed To:

• make turbo more efficient, especially to address Scripts are run unnecessarily depending on how turbo is configured vercel/turborepo#937
• make prepare more efficient (see also Scripts are run unnecessarily depending on how turbo is configured vercel/turborepo#937)
• make lint and check:types run on all test packages
• fix CI caches for new lint config
• make all the compiled types not publish (we have to include them in files currently for hardlinks to work)

There's a decent chance that composite and references would speed up our builds substantially, but such a setup is likely impossible due to references not allowing any cycles to exist