[BUG] Claude in Chrome: Intermittent "Check your Claude in Chrome account" dialog - native host EOF disconnects

Description

Since recent Claude Desktop updates, the "Check your Claude in Chrome account" dialog appears repeatedly during active sessions. The connection recovers after dismissing the dialog, but disconnects keep recurring. This is not a permanent failure (unlike #27055) — it's an intermittent drop that disrupts workflow.

Logs

~/Library/Logs/Claude/chrome-native-host.log shows repeated EOF disconnects with no error context:

[2026-03-07 10:11:24] Chrome disconnected (EOF received)
[2026-03-07 10:29:41] Chrome native host starting (version 0.1.0)
[2026-03-07 10:29:43] Chrome disconnected (EOF received)  ← 2 seconds!
[2026-03-07 10:29:48] Chrome native host starting (version 0.1.0)
[2026-03-07 10:46:56] Chrome disconnected (EOF received)  ← 17 min
[2026-03-07 10:47:38] Chrome native host starting (version 0.1.0)

The pattern has been recurring since late February, with disconnects happening at unpredictable intervals (from 2 seconds to several hours).

~/Library/Logs/Claude/mcp.log shows corresponding unexpected server disconnects:

2026-03-07T07:08:07.325Z [info] [Control Chrome] Server transport closed unexpectedly
2026-03-08T05:45:19.563Z [info] [Control Chrome] Server transport closed unexpectedly

No auth/token/mismatch errors in any log — just clean EOF disconnects followed by the account check dialog.

Steps to Reproduce

1. Open Claude Desktop + Chrome with Claude in Chrome extension connected
2. Use MCP browser tools — they work initially
3. Wait — after variable time (2 seconds to ~30 minutes), native host receives EOF
4. "Check your Claude in Chrome account" dialog appears in Claude Desktop
5. Dismiss dialog, connection restores, cycle repeats

Expected Behaviour

Once authenticated, the connection should remain stable without repeated disconnects and auth prompts.

Environment

• macOS (Apple Silicon)
• Claude Desktop (latest, March 2026)
• Chrome with Claude in Chrome extension (latest)
• Chrome native host version 0.1.0