fix(core): write terminal output to cache folder

[xiongemi]

Current Behavior

Expected Behavior

Related Issue(s)

Fixes #

[vercel]

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1 Ignored Deployment

Name	Status	Preview	Updated (UTC)
nx-dev	⬜️ Ignored (Inspect)	Visit Preview	Apr 4, 2024 5:42pm

[nx-cloud]

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✅ Successfully ran 6 targets

• nx affected --targets=e2e,e2e-ci --base=3b182e4650515387e65e8c306740c3dd8e5348f0 --head=f9bc5f256ac7b4f53cb8be7bae29c081f3f11b7b --parallel=1
• nx affected --targets=lint,test,build --base=3b182e4650515387e65e8c306740c3dd8e5348f0 --head=f9bc5f256ac7b4f53cb8be7bae29c081f3f11b7b --parallel=3
• nx run-many -t check-imports check-commit check-lock-files check-codeowners documentation --parallel=1 --no-dte
• nx-cloud record -- nx format:check --base=3b182e4650515387e65e8c306740c3dd8e5348f0 --head=f9bc5f256ac7b4f53cb8be7bae29c081f3f11b7b
• nx documentation --no-dte
• nx affected -t e2e-macos --parallel=1 --base=3b182e4650515387e65e8c306740c3dd8e5348f0 --head=f9bc5f256ac7b4f53cb8be7bae29c081f3f11b7b

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[github-actions]

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