Fix: Flickering search results in the inbox page

[coderabbitai]

Description

When searching in the inbox page, the search results flicker or momentarily disappear/reappear during the search process. This creates a poor user experience when filtering conversations.

Context

This issue was identified as a follow-up to PR #873 (#873) which addressed persisting the search state in the inbox. While the search state persistence was improved, the flickering behavior during search results rendering still needs to be addressed.

Expected behavior

Search results should render smoothly without flickering or temporarily disappearing when:

• A user types in the search box
• The search query updates
• The page transitions or re-renders

Related PRs/Issues

• PR fix: pressist search state inbox #873: fix: persist search state inbox (fix: pressist search state inbox #873)
• Original issue 🤔 [ISSUE] - URL persist search query text from the inbox page #782 (addressed by PR fix: pressist search state inbox #873)

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This issue was created as requested in a PR comment: #873