(1) docker-compose: ${WEBAI_API_KEY} → ${WEBAI_API_KEY:-} matches
project convention, avoids "variable not set" warning when NAS .env
lacks the key during initial deploy.
(2) auth.py: ERROR log when WEBAI_API_KEY env unset fires only on
first miss, then silent (module-level _WEBAI_AUTH_WARNED flag).
Flag resets when env becomes configured, so future regressions log
again. Eliminates log spam under web-ai polling (~3/min).
All 102 tests still pass.
Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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