CEL-1814: carry the org-invite token in RegisterForm/RegisterInput

[mong-x]

Part of CEL-1814 (backend: CellarNode/cellarnode-backend-v2#712; producer UI: producer-dashboard PR from branch mjnong/cel-1814-invite-token).

• RegisterInput.inviteToken?: string — sent verbatim by the auth API client (POST /auth/register body).
• RegisterForm accepts an inviteToken prop and passes it on register.
• Friendly error copy for the new typed backend codes: REGISTRATION_CLOSED (surface switch closed, invite required) and INVITE_TOKEN_INVALID (bad/expired/mismatched token).
• Additive and backwards-compatible: no consumer changes required until they adopt the prop. Tests: token pass-through + both error surfaces (186 pass total, typecheck + build clean).

Note: producer-dashboard currently depends on @cellarnode/auth 0.15.0/0.16.0; its PR injects the token locally so it works before the next lib release, and can drop the shim when this ships.

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Summary by cubic

Carries the org-invite token through RegisterForm and RegisterInput so the register call submits it, and maps the new invite-only backend error codes to friendly messages.

• RegisterInput now accepts an optional inviteToken, sent verbatim by the auth API client.
• RegisterForm accepts an inviteToken prop and includes it in the register call.
• REGISTRATION_CLOSED and INVITE_TOKEN_INVALID errors now show specific, user-friendly copy.
• Additive and backwards-compatible; existing consumers need no changes until they adopt the prop.
• Adds tests for token pass-through and both error surfaces.

^{Written for commit aff2458. Summary will update on new commits.}

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📥 Commits

Reviewing files that changed from the base of the PR and between 6de0850 and aff2458.

📒 Files selected for processing (3)

• __tests__/register-form.test.tsx
• src/react/register-form.tsx
• src/types.ts

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[cubic-dev-ai]

No issues found across 3 files

Confidence score: 5/5

• Automated review surfaced no issues in the provided summaries.
• No files require special attention.

<sub>Auto-approved: Adds an optional invite-token passthrough to registration and friendly handling for new invite-only backend errors. Additive, backwards-compatible, and covered by tests.

Re-trigger cubic</sub>