feat(manager): product search with Pinyin support

[AkarinServer]

Added product search functionality to Manager App.

Features

• Search Bar: Added to Product List screen.
• Advanced Search: Supports:
  • Chinese Name: e.g. '可口可乐'
  • Full Pinyin: e.g. 'kekoukele'
  • Initials (Short Pinyin): e.g. 'kkkl'
  • Barcode: e.g. '69...'
• Automatic Indexing: Generates pinyin/initials automatically when adding/editing products.

Technical

• Added lpinyin dependency.
• Updated Product model and DB schema (version 5) to store pinyin and initials.
• Implemented in-memory filtering for responsive search on the list screen.

[chatgpt-codex-connector]

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