⚡ Optimize active user lookups in ConnectionManager

[the-asind]

💡 What: Implemented reverse mapping dictionaries (project_user_ids and script_user_ids) in ConnectionManager to store sets of user IDs indexed by project and script IDs.
🎯 Why: The previous implementation iterated over all active user sessions ($O(N)$), which was inefficient for large numbers of users.
📊 Measured Improvement:
Benchmark results for get_script_active_users:

• 100 users: 9.31 μs -> 0.39 μs (~24x speedup)
• 1000 users: 107.51 μs -> 0.37 μs (~290x speedup)
• 5000 users: 586.15 μs -> 0.34 μs (~1700x speedup)

Benchmark results for get_project_active_users:

• 100 users: 15.71 μs -> 0.37 μs (~42x speedup)
• 1000 users: 148.53 μs -> 0.34 μs (~430x speedup)
• 5000 users: 851.88 μs -> 0.34 μs (~2500x speedup)

The new implementation provides consistent $O(M)$ performance where $M$ is the number of users in the specific project or script, independent of the total number of connected users.

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PR created automatically by Jules for task 2399309273402612887 started by @the-asind

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📥 Commits

Reviewing files that changed from the base of the PR and between 5200141 and 3d407fc.

📒 Files selected for processing (1)

• backend/app/services/websocket.py

✨ Finishing Touches

🧪 Generate unit tests (beta)

• Create PR with unit tests
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• Commit unit tests in branch optimize-websocket-lookups-2399309273402612887

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