[AZ-180] Enhance setup and improve inference logging

- Added a new Cython extension for the engine factory to the setup configuration.
- Updated the inference module to include additional logging for video batch processing and annotation callbacks.
- Refactored test cases to standardize the detection endpoint responses and include channel IDs in headers for better event handling.

.cursor/rules/meta-rule.mdc

@@ -31,3 +31,20 @@ When the user reacts negatively to generated code ("WTF", "what the hell", "why
 **Preventive rules added to coderule.mdc**:
 - "Do not solve environment or infrastructure problems by hardcoding workarounds in source code. Fix them at the environment/configuration level."
 - "Before writing new infrastructure or workaround code, check how the existing codebase already handles the same concern. Follow established project patterns."
+
+## Debugging Over Contemplation
+When the root cause of a bug is not clear after ~5 minutes of reasoning, analysis, and assumption-making — **stop speculating and add debugging logs**. Observe actual runtime behavior before forming another theory. The pattern to follow:
+
+1. Identify the last known-good boundary (e.g., "request enters handler") and the known-bad result (e.g., "callback never fires").
+2. Add targeted `print(..., flush=True)` or log statements at each intermediate step to narrow the gap.
+3. Read the output. Let evidence drive the next step — not inference chains built on unverified assumptions.
+
+Prolonged mental contemplation without evidence is a time sink. A 15-minute instrumented run beats 45 minutes of "could it be X? but then Y... unless Z..." reasoning.
+
+## Long Investigation Retrospective
+When a problem takes significantly longer than expected (>30 minutes), perform a post-mortem before closing out:
+
+1. **Identify the bottleneck**: Was the delay caused by assumptions that turned out wrong? Missing visibility into runtime state? Incorrect mental model of a framework or language boundary?
+2. **Extract the general lesson**: What category of mistake was this? (e.g., "Python cannot call Cython `cdef` methods", "engine errors silently swallowed", "wrong layer to fix the problem")
+3. **Propose a preventive rule**: Formulate it as a short, actionable statement. Present it to the user for approval.
+4. **Write it down**: Add the approved rule to the appropriate `.mdc` file so it applies to all future sessions.