feat(tests): make inference_recorder into api_recorder (include tool_invoke) (#3403)

Renames `inference_recorder.py` to `api_recorder.py` and extends it to
support recording/replaying tool invocations in addition to inference
calls.

This allows us to record web-search, etc. tool calls and thereafter
apply recordings for `tests/integration/responses`

## Test Plan

```
export OPENAI_API_KEY=...
export TAVILY_SEARCH_API_KEY=...

./scripts/integration-tests.sh --stack-config ci-tests \
   --suite responses --inference-mode record-if-missing
```

.github/workflows/record-integration-tests.yml

@@ -61,6 +61,9 @@ jobs:
 
       - name: Run and record tests
         uses: ./.github/actions/run-and-record-tests
+        env:
+          # Set OPENAI_API_KEY if using gpt setup
+          OPENAI_API_KEY: ${{ inputs.test-setup == 'gpt' && secrets.OPENAI_API_KEY || '' }}
         with:
           stack-config: 'server:ci-tests'  # recording must be done with server since more tests are run
           setup: ${{ inputs.test-setup || 'ollama' }}