Flight Search

Recreate the "Flight Search" screen in React Native using LumioUI.

Goal: Search flights with the route set large, big date figures and a strip of the cheapest fare for each day. Search lights the route from origin to destination with a plane riding along it. Match the reference implementation's layout, behavior, and motion exactly — this is a production screen, not a mockup.

## Setup

Fastest path — install the screen plus its component deps:

```bash
npx @lumioui/cli add pro/travel-flight-search
```

Or pull just the components: `npx @lumioui/cli add animated-number button icon segmented-control text`

Native packages:
- react-native-reanimated@*
- react-native-safe-area-context@*
- react-native-svg@*

Stack assumptions: Expo SDK 54 / RN 0.81, Reanimated 4, NativeWind v4, TypeScript strict, Expo Go compatible.

## Components — how, where, when

### `animated-number` — Number that moves to each new value as a calm count-up or a roll where only the changed digits turn, set in type or in dot-matrix LEDs whose dots switch on in place. Screen readers announce just the final value, not every step.
- `<AnimatedNumber>` ×1

### `button` — Pill button that presses down under your finger, in eight styles from solid to glass, with a built-in loading state that swaps in place while an action runs.
- `<Button>` ×1

### `icon` — Icon set drawn on one consistent grid, sized and coloured from your theme. The heart, star and bookmark can fill in place inside their outline, then fade back out.
- `<Icon>` ×6

### `segmented-control` — Segmented control for switching between a few options, with text segments that can carry icons. The highlight slides smoothly to your pick and can be dragged, and a glass style suits photos.
- `<SegmentedControl>` ×2

### `text` — Themed type scale from caption to display that follows light and dark mode. Includes a pull-quote style with an accent rule and a quieter dimmed tone for secondary text.
- `<Text>` ×29

## Conventions (non-negotiable)

- Styling via NativeWind `className` with semantic tokens only: `bg-background`, `text-foreground`, `bg-card`, `text-card-foreground`, `bg-secondary`, `bg-muted`, `text-muted-foreground`, `bg-accent`, `bg-destructive`, `border-border`. Hard-coded colors only inside media overlays (`text-white`, `bg-black/N`).
- Motion via the token presets from `@lumioui/core` (`spring.press`, `spring.surface`, `spring.glide`, `timing.fast`, `timing.slow`, …) — no bespoke spring configs or durations.
- Gate transform motion behind `useReducedMotion()`; keep opacity/color feedback, drop travel and overshoot.
- Haptics via `useHaptic()`: `light` on press, `selection` on toggle/select, `warning` on invalid input. Never import expo-haptics directly.
- Press feedback via `usePressAnimation()` (~0.97 scale), not `activeOpacity` tricks.
- a11y: `accessibilityRole` + `accessibilityLabel` on every control, touch targets ≥44pt.
- Entrance choreography: staggered `Mount` wrappers (delay 0/60/120…) so regions land in sequence instead of popping in at once.
- Wrap the screen in `SafeAreaView`; keep dark mode working via the semantic tokens.

## Deliverable

One file: `screens/travel/flight-search.tsx` exporting FlightSearchScreen. Preserve the props interface — the host app wires the callbacks (navigation, submit handlers) through them.

## Reference implementation

This is a LumioUI Pro item: its source is not published in the docs. Install it with a Pro license key
(set `LUMIO_LICENSE_KEY`; keys are on lumioui.com/account) and read the installed file as the reference:

```bash
npx @lumioui/cli add pro/travel-flight-search
```

The source lands at `screens/travel/flight-search.tsx`.

Screen: https://lumioui.com/screens/travel-flight-search