chore(desktop): drop dead overlay primitives

Remove zero-consumer overlay code surfaced while auditing the primitive set:
OverlayNewButton (orphaned once "New" moved into PanelAddButton), OverlayCard /
overlayCardClass, and the unused overlay-search-input module. Leaves three
intentional layers: OverlayView (base), Panel (master/detail), and
OverlaySplitLayout (settings/command-center nav→content).

apps/desktop/src/app/overlays/overlay-chrome.tsx

@@ -1,26 +1,11 @@
-import type { ButtonHTMLAttributes, ComponentProps, ReactNode } from 'react'
+import type { ButtonHTMLAttributes, ReactNode } from 'react'
 
 import { cn } from '@/lib/utils'
 
-export const overlayCardClass =
-  'rounded-lg border border-[color-mix(in_srgb,var(--dt-border)_52%,transparent)] bg-[color-mix(in_srgb,var(--dt-card)_72%,transparent)] shadow-[inset_0_0.0625rem_0_color-mix(in_srgb,white_34%,transparent)]'
-
-interface OverlayCardProps extends ComponentProps<'div'> {
-  children: ReactNode
-}
-
 interface OverlayActionButtonProps extends ButtonHTMLAttributes<HTMLButtonElement> {
   tone?: 'default' | 'danger' | 'subtle'
 }
 
-export function OverlayCard({ children, className, ...props }: OverlayCardProps) {
-  return (
-    <div className={cn(overlayCardClass, className)} {...props}>
-      {children}
-    </div>
-  )
-}
-
 export function OverlayActionButton({
   children,
   className,

apps/desktop/src/app/overlays/overlay-search-input.tsx

@@ -1,33 +0,0 @@
-import type { RefObject } from 'react'
-
-import { SearchField } from '@/components/ui/search-field'
-
-interface OverlaySearchInputProps {
-  containerClassName?: string
-  inputRef?: RefObject<HTMLInputElement | null>
-  loading?: boolean
-  onChange: (value: string) => void
-  placeholder: string
-  value: string
-}
-
-// Borderless underline search — matches the tools/skills page (PageSearchShell).
-export function OverlaySearchInput({
-  containerClassName,
-  inputRef,
-  loading = false,
-  onChange,
-  placeholder,
-  value
-}: OverlaySearchInputProps) {
-  return (
-    <SearchField
-      containerClassName={containerClassName}
-      inputRef={inputRef}
-      loading={loading}
-      onChange={onChange}
-      placeholder={placeholder}
-      value={value}
-    />
-  )
-}

apps/desktop/src/app/overlays/overlay-split-layout.tsx

@@ -1,7 +1,5 @@
 import type { ReactNode } from 'react'
 
-import { Button } from '@/components/ui/button'
-import { Codicon } from '@/components/ui/codicon'
 import type { IconComponent } from '@/lib/icons'
 import { cn } from '@/lib/utils'
 
@@ -76,31 +74,6 @@ export function OverlayMain({ children, className }: OverlayMainProps) {
   )
 }
 
-// Boxless "+ New …" action that tops an OverlaySidebar list (profiles, cron, …).
-// The text variant underlines on hover, which also strokes the icon glyph — so
-// we keep the button itself underline-free and underline only the label span.
-export function OverlayNewButton({
-  icon = 'add',
-  label,
-  onClick
-}: {
-  icon?: string
-  label: string
-  onClick: () => void
-}) {
-  return (
-    <Button
-      className="group mb-1 w-full justify-start gap-2 text-muted-foreground hover:bg-transparent hover:text-foreground"
-      onClick={onClick}
-      size="sm"
-      variant="ghost"
-    >
-      <Codicon name={icon} />
-      <span className="underline-offset-4 group-hover:underline">{label}</span>
-    </Button>
-  )
-}
-
 export function OverlayNavItem({ active, icon: Icon, label, nested, onClick, trailing }: OverlayNavItemProps) {
   return (
     <button