[RNE Rewrite] chore: clean up and unify example app layout, styling, and fix dependencies

[barhanc]

Description

• Refactors the computer vision example app and standardizes layout, utilties for loading images, etc.
• Adds reusable UI components extracted to ensure visual consistency across all demo screens.
• Configures package JSON/lockfile alignment and integrates the react-native-worklets patch.

NOTE: This is not a visual app overhaul PR, rather it fixes some stuff we forgot about (i.e. the worklets patch) and establishes common primitives for building example screens in fast and efficient manner.

Introduces a breaking change?

• Yes
• No

Type of change

• Bug fix (change which fixes an issue)
• New feature (change which adds functionality)
• Documentation update (improves or adds clarity to existing documentation)
• Other (chores, tests, code style improvements etc.)

Tested on

• iOS
• Android

Testing instructions

• Build and run the computer-vision example app on an iOS or Android device/simulator.
• Open the Classification and Model Inspector screens to verify the UI layout remains aligned and responsive.

Screenshots

N/A

Related issues

N/A

Checklist

• I have performed a self-review of my code
• I have commented my code, particularly in hard-to-understand areas
• I have updated the documentation accordingly
• My changes generate no new warnings

Additional notes

N/A

[msluszniak]

Ran the computer-vision example app on a physical Android device (Samsung S26 Ultra) — it builds and runs correctly. A few findings inline.