[Due for payment 2025-08-13] Refactor `src/libs/E2E/actions/waitForAppLoaded.ts` to remove `Onyx.connect()` references

[tgolen]

This is part of deprecating Onyx.connect. Parent Issue

Module: src/libs/E2E/actions/waitForAppLoaded.ts

This issue tracks the refactoring of Onyx.connect references in src/libs/E2E/actions/waitForAppLoaded.ts.

[allgandalf]

@tgolen can you please assign me and @shubham1206agra for this issue?

PR is here:

• [No QA]: Update waitForAppLoaded.ts to use connectWithoutView #67543