feat(ui): improve scheduled task controls

[jromualdez-scale]

Summary

• add client-side search to the scheduled tasks agent picker
• close and reset the picker on selection, outside click, or Escape
• add a visible label to the prompt field in the edit schedule modal

Test plan

• Run npm run typecheck
• Lint the updated schedule components
• Run npm run test:run -- hooks/use-agents.test.tsx
• Verify the searchable picker and prompt label locally

Made with Cursor

Greptile Summary

This PR improves the scheduled-tasks UI in two ways: it replaces the Radix Select with a custom searchable dropdown for the scope picker, and it adds an explicit "Prompt" label to the edit-schedule textarea.

• Custom agent picker — adds client-side filtering, Escape / outside-click dismissal, and focus-return to the trigger; removes the Radix Select dependency from this component.
• Prompt label — wraps the textarea in a <label> element with a visible "Prompt" span, matching the existing ScheduleNameInput pattern and improving accessibility.
• Known gap — the trigger button's onClick handler does not call setQuery('') when closing, so a stale search term persists if the user toggles the dropdown closed via the button rather than via Escape, outside-click, or item selection.

Confidence Score: 4/5

Safe to merge after fixing the stale-query issue on trigger-button close.

The custom dropdown correctly resets the search query on every close path (Escape, outside-click, item selection) except one: clicking the trigger button a second time only toggles isOpen without calling setQuery. A user who closes via the button and reopens sees a filtered list based on their previous search term with no explanation. The fix is a one-liner. Everything else is correct.

Files Needing Attention: agentex-ui/components/scheduled-tasks/scheduled-tasks-page.tsx — the trigger button onClick handler needs to clear the search query when closing.

Important Files Changed

Filename	Overview
agentex-ui/components/scheduled-tasks/scheduled-tasks-page.tsx	Replaces Radix Select with a custom searchable dropdown; correctly handles outside-click, Escape, and item-selection close paths, but omits query reset when the trigger button toggles the dropdown closed.
agentex-ui/components/scheduled-tasks/schedule-modals.tsx	Wraps the prompt textarea in a labeled <label> element, matching the existing ScheduleNameInput pattern; straightforward and safe change.

Flowchart

%%{init: {'theme': 'neutral'}}%%
flowchart TD
    A([User clicks trigger button]) --> B{isOpen?}
    B -- false --> C[setIsOpen true\nautoFocus search input]
    B -- true --> D[setIsOpen false\n query NOT cleared]
    C --> E[Dropdown renders]
    E --> F{User action}
    F -- Types in search --> G[filteredAgents updates]
    F -- Selects item --> H[selectAgent or selectScope\nsetIsOpen false\nsetQuery empty\ntriggerRef.focus]
    F -- Presses Escape --> I[closeOnEscape handler\nsetIsOpen false\nsetQuery empty\ntriggerRef.focus]
    F -- Clicks outside --> J[closeOnOutsideClick handler\nsetIsOpen false\nsetQuery empty]
    F -- Clicks trigger again --> D
    D --> K([Dropdown closes, stale query remains])

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_{Reviews (2): Last reviewed commit: "fix(ui): handle schedule picker loading ..." | Re-trigger Greptile}