Keep studio invoke closeout frontend-only

[AbigailDeng]

Summary

• carry the current Studio / Teams closeout work on a frontend-only branch
• keep backend changes out of this PR as requested
• include a minimal Studio runtime fix so the page no longer throws on resolvedLifecycleMemberId initialization order

What changed

• update Studio navigation and member-runtime helpers for the current member-first flow
• update Teams home / runtime wiring and related tests
• update Studio page / bind panel behavior and related tests
• add memberRuntime helpers plus unit coverage

Explicitly not included

• no backend files under src/ or test/ are changed in this PR
• the previously touched backend endpoint / identity changes were restored and are not part of this branch

Verification

• pnpm --dir /Users/xiezixin/Documents/work/aevatar-pr-frontend-clean2/apps/aevatar-console-web test -- --runInBand src/shared/studio/navigation.test.ts src/shared/studio/memberRuntime.test.ts src/pages/teams/home.test.tsx src/pages/studio/index.test.tsx
• current result: navigation.test.ts and memberRuntime.test.ts pass; home.test.tsx and index.test.tsx still fail and need follow-up

Notes

• opened as draft because the frontend test suite is not fully green yet

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 71.54%. Comparing base (c51d203) to head (a434a23).

@@           Coverage Diff           @@
##              dev     #485   +/-   ##
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  Coverage   71.54%   71.54%           
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  Files        1236     1236           
  Lines       89569    89569           
  Branches    11712    11712           
=======================================
  Hits        64081    64081           
  Misses      20903    20903           
  Partials     4585     4585           

Flag	Coverage Δ
ci	71.54% <ø> (ø)

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