Buffer TypeScript SDK logs across log socket disconnects

[guan404ming]

Related Issue

closes: #69292

Why

Logs emitted while the log socket is disconnected are silently lost, unlike the Java and Go SDK runtimes which buffer and flush them.

How

• Buffer serialized log records while the socket is down and flush them in order on reconnect
• Reconnect automatically every 250ms after an unexpected socket close, stopping on close()
• Share socket state between the root logger and its children so all observe the same connection

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