[Due for payment 2026-07-13] [$125] refactor: add dedicated TaskSearchView

[mountiny]

Problem

Task search results still render through the legacy SearchList shell, which mixes routing, layout, and type-specific rendering in one component. That makes the task view harder to maintain and prevents the search refactor from giving each search type its own dedicated view with stable, focused responsibilities.

Solution

Add a dedicated TaskSearchView that composes the shared useSearchListViewState hook and SearchListViewLayout over BaseSearchList, matching the pattern used by ExpenseFlatSearchView. The router now dispatches the task type to this view, which renders TaskListItem rows with no column data, no exit animation, and suppressed long press. The parent-report name still comes from the report-attributes selector inside TaskListItem, so behavior stays unchanged.

PR

#94820

Issue Owner

Current Issue Owner: @mallenexpensify

[melvin-bot]

⚠️ Could not update price automatically because there is no linked Upwork Job ID. The BZ team member will need to update the price manually in Upwork.