fix: adapt Team Automations to owner-aware schedules

[AbigailDeng]

Summary

• Send the typed studio_member_automation owner through Team Automation schedule queries, writes, and lifecycle actions.
• Aggregate team-level schedules per member while preserving the backend schedule-to-owner association; existing UI interactions remain unchanged.

Verification

• pnpm --dir apps/aevatar-console-web test --runInBand src/shared/api/scheduledDispatchApi.test.ts src/pages/teams/detail.test.tsx: passed (99/99 tests)
• pnpm --dir apps/aevatar-console-web tsc: passed
• pnpm --dir apps/aevatar-console-web build: passed
• bash tools/ci/test_stability_guards.sh: passed
• git diff --check origin/dev...HEAD: passed

Risks

• bash tools/ci/architecture_guards.sh passed the checks reached locally, then stopped because buf is not installed, so the complete architecture guard was not verified locally.
• The full frontend test suite was not run under the repository incremental unit test policy; the two directly affected test files passed.

Closes #2977

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 83.45%. Comparing base (5426eff) to head (5b65812).

@@            Coverage Diff             @@
##              dev    #2982      +/-   ##
==========================================
- Coverage   83.45%   83.45%   -0.01%     
==========================================
  Files        1376     1376              
  Lines      112732   112732              
  Branches    14366    14366              
==========================================
- Hits        94084    94075       -9     
- Misses      12096    12102       +6     
- Partials     6552     6555       +3     

Flag	Coverage Δ
ci	83.45% <ø> (-0.01%)	⬇️

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