Add more complex transformations example

[j-piasecki]

Description

Extracted new transformations example from #2919, so that the entire thing isn't blocked by #2929

[j-piasecki]

The V3 coordinates are wrong (at least on iOS). Changing render to

    <InterceptingGestureDetector>
      <VirtualGestureDetector gesture={gesture}>
        <Animated.View
          onLayout={({ nativeEvent }) => {
            setSize({
              width: nativeEvent.layout.width,
              height: nativeEvent.layout.height,
            });
          }}
          style={[styles.container, style]}>
          <Image source={SIGNET} style={styles.image} resizeMode="contain" />
        </Animated.View>
      </VirtualGestureDetector>
    </InterceptingGestureDetector>

fixes it so it seems like the wrong coordinate space is being used. This needs to be investigated.

[Copilot]

Pull request overview

This PR adds a new, more advanced “Transformations” example to the New API example set (extracted from #2919) and updates the legacy v2 transformations example to use the same matrix-based approach for pan/pinch/rotate composition.

Changes:

• Register a new “Transformations” entry in the New API “Complicated” examples list.
• Add a new New API transformations example that composes pan/pinch/rotation/double-tap using a 4×4 matrix accumulator.
• Rework the legacy v2 transformations example to use the same matrix/origin approach (instead of simple translate/scale/rotate values).

Reviewed changes

Copilot reviewed 3 out of 3 changed files in this pull request and generated 8 comments.

File	Description
apps/common-app/src/new_api/index.tsx	Adds the Transformations example to the New API list.
apps/common-app/src/new_api/complicated/transformations/index.tsx	New complex matrix-based transformations example using hook gestures.
apps/common-app/src/legacy/v2_api/transformations/index.tsx	Updates legacy example to match the complex matrix/origin approach and add layout sizing.

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