[high] Decompose Home.tsx (987 lines) and Chat.tsx (776 lines)

[Do-fei]

Both pages own multiple unrelated UIs:

• Home: list / history sheet / trash sheet / search / batch delete / single delete / default-girlfriend creation / intimacy badges / mood badges / pull-to-refresh / logout.
• Chat: embeds an inline useTTS hook owning playback state, refs, autoplay setting.

Fix: decompose into <HomeList>, <HistorySheet>, <TrashSheet>, <ChatHeader>, <MessageStream>, <TTSController>.