feat(webapp): segmented control for the task type filter

[samejr]

Summary

Replaces the multi-select popover task type filter on the Tasks page with a single-select segmented control: All plus icon-only Agent, Standard, and Scheduled segments. Each segment has a tooltip showing its label and a number-key shortcut (0-3), and the search field no longer autofocuses so the shortcuts work on page load.

✅ Checklist

• I have followed every step in the contributing guide
• The PR title follows the convention.
• I ran and tested the code works

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Latest commit: 5c62af0

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[coderabbitai]

Walkthrough

The task-type filter on the Tasks index route is replaced from a multi-select popover (Combobox/Select) to a SegmentedControl with four segments: All, Agent, Standard, and Scheduled. New constants (ALL_TASK_TYPES, TaskTypeSegment, TASK_TYPE_SEGMENTS) define segment metadata including tooltip text and mapped UnifiedTaskKind. The selectedTypes derivation is updated to single-select: it returns a Set only when exactly one types URL param is present, otherwise null. TaskTypeFilter is rewritten to use useShortcutKeys for numeric 0–3 keyboard shortcuts, removes the types param for "All", and sets a single-element types array (clearing page) for a specific kind. SearchInput autoFocus is also removed. A changelog entry documents the change.

🚥 Pre-merge checks | ✅ 5

✅ Passed checks (5 passed)

Check name	Status	Explanation
Title check	✅ Passed	The title accurately summarizes the main change: converting the task type filter to a segmented control UI component.
Docstring Coverage	✅ Passed	No functions found in the changed files to evaluate docstring coverage. Skipping docstring coverage check.
Linked Issues check	✅ Passed	Check skipped because no linked issues were found for this pull request.
Out of Scope Changes check	✅ Passed	Check skipped because no linked issues were found for this pull request.
Description check	✅ Passed	The PR description covers the key aspects of the change and includes the required checklist with items marked complete, but omits the Testing and Screenshots sections from the template.

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✨ Finishing Touches

📝 Generate docstrings

• Create stacked PR
• Commit on current branch

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Commit unit tests in branch samejr/segmented-control-task-filter

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[devin-ai-integration]

Devin Review found 1 potential issue.