feat: introduce custom provider example and remove redundant debug logs

- Added `examples/custom-provider/main.go` showcasing custom executor and translator integration using the SDK.
- Removed redundant debug logs from translator modules to enhance code cleanliness.
- Updated SDK documentation with new usage and advanced examples.
- Expanded the management API with new endpoints, including request logging and GPT-5 Codex features.

internal/translator/claude/openai/responses/claude_openai-responses_request.go

@@ -6,7 +6,6 @@ import (
 	"math/big"
 	"strings"
 
-	log "github.com/sirupsen/logrus"
 	"github.com/tidwall/gjson"
 	"github.com/tidwall/sjson"
 )
@@ -22,7 +21,6 @@ import (
 // - max_output_tokens -> max_tokens
 // - stream passthrough via parameter
 func ConvertOpenAIResponsesRequestToClaude(modelName string, inputRawJSON []byte, stream bool) []byte {
-	log.Debug("ConvertOpenAIResponsesRequestToClaude")
 	rawJSON := bytes.Clone(inputRawJSON)
 
 	// Base Claude message payload