Centralized trace logging

[Ricky-RL]

Add logging. It looks liek this:

{"timestamp": "2026-04-17 02:51:13,138", "level": "INFO", "logger": "api.main", "message": "Starting Evalhub application", "trace_id": "", "module": "main", "func": "lifespan"}
{"timestamp": "2026-04-17 02:51:23,164", "level": "INFO", "logger": "api.auth.service", "message": "User authenticated: admin@evalhub.com", "trace_id": "3d288c32-a65e-4d3c-bdfa-8d8c33d5f953", "module": "service", "func": "login"}
WARNING:  StatReload detected changes in 'api/__main__.py'. Reloading...
{"timestamp": "2026-04-17 02:52:05,849", "level": "INFO", "logger": "api.main", "message": "Shutting down Evalhub application", "trace_id": "", "module": "main", "func": "lifespan"}
WARNING:  StatReload detected changes in 'api/__main__.py'. Reloading...
{"timestamp": "2026-04-17 02:52:14,393", "level": "INFO", "logger": "api.main", "message": "Starting Evalhub application", "trace_id": "", "module": "main", "func": "lifespan"}
{"timestamp": "2026-04-17 02:52:22,116", "level": "INFO", "logger": "api.main", "message": "Starting Evalhub application", "trace_id": "", "module": "main", "func": "lifespan"}
WARNING:  StatReload detected changes in 'api/core/redis_client.py'. Reloading...
{"timestamp": "2026-04-17 02:53:07,054", "level": "INFO", "logger": "api.main", "message": "Shutting down Evalhub application", "trace_id": "", "module": "main", "func": "lifespan"}```

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Project	Deployment	Actions	Updated (UTC)
evalhub	Ready	Preview, Comment	Apr 17, 2026 9:54am

[codacy-production]

Not up to standards ⛔

🔴 Issues 18 high

Alerts:
⚠ 18 issues (≤ 0 issues of at least minor severity)

Results:
18 new issues

Category	Results
Security	18 high

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🟢 Metrics 31 complexity · 0 duplication

Metric	Results
Complexity	31
Duplication	0

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