Fix Nx build output paths

[isaacroldan]

Summary

• Point Nx build outputs at each package's local dist directory instead of the workspace root.
• This makes Nx cache restore the files each build target actually produces.

Validation

• package.json/project.json JSON parse
• prettier --check on changed project configs
• git diff --check

[isaacroldan]

• Make everyday Nx checks cacheable #7813
• Fix Nx build output paths #7816 👈 (View in Graphite)
• main

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[samarthpohekar]

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