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

[tgolen]

This is part of deprecating Onyx.connect. Parent Issue

Module: src/libs/actions/Search.ts

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

[allgandalf]

@tgolen can you please assign me and @DylanDylann as C+ for this issue.

PR is here:

• Refactor function in Search.ts to remove usage of Onyx.Connect #67205

I will open it up once we have the C+ assigned for correct assignment

[melvin-bot]

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