fix: Ensure session reconnects after clearing entries in dashboard

[CallMeLeon167]

Summary

• Fixes a bug where no new debug entries would appear in the dashboard after clicking the "Clear" button. The issue was caused by the SSE (Server-Sent Events) stream maintaining the old lastId counter after the session was cleared on the server. When new entries were created with IDs starting from 1, the browser still looked for entries with IDs greater than the previous maximum, resulting in no entries being displayed until the page was manually reloaded.

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Type of change

• Bug fix
• New feature
• Refactoring (no functional change)
• Configuration / .env change
• Documentation update
• Other:

[CallMeLeon167]

#3 Issue