Fix root TypeScript typecheck surfaced by CI

[mdheller]

PR #327 added the first Noetica deployment CI. The Agent Machine build and test job passes, but the app static build job fails at the root TypeScript typecheck step.

Observed workflow state:

• root npm install succeeded
• root typecheck failed
• static build and static export probe were skipped
• agent-machine install, build, and test passed

Acceptance criteria:

• npm run typecheck passes from the repository root.
• CI then reaches npm run build:static and npm run build:static:probe.
• Any existing type debt is fixed or explicitly isolated behind a separate tracked compatibility boundary.

[mdheller]

Additional nuance from the concurrent existing validate workflow: its nextjs job reached and passed the Typecheck step while the new PR #327 ci app job failed at Typecheck. Treat this as either workflow environment drift or command/env mismatch until the failing job log is inspected. Do not assume application source type debt only.