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_response.go

@@ -8,7 +8,6 @@ import (
 	"strings"
 	"time"
 
-	log "github.com/sirupsen/logrus"
 	"github.com/tidwall/gjson"
 	"github.com/tidwall/sjson"
 )
@@ -43,7 +42,6 @@ func emitEvent(event string, payload string) string {
 
 // ConvertClaudeResponseToOpenAIResponses converts Claude SSE to OpenAI Responses SSE events.
 func ConvertClaudeResponseToOpenAIResponses(ctx context.Context, modelName string, originalRequestRawJSON, requestRawJSON, rawJSON []byte, param *any) []string {
-	log.Debug("ConvertClaudeResponseToOpenAIResponses")
 	if *param == nil {
 		*param = &claudeToResponsesState{FuncArgsBuf: make(map[int]*strings.Builder), FuncNames: make(map[int]string), FuncCallIDs: make(map[int]string)}
 	}
@@ -391,7 +389,6 @@ func ConvertClaudeResponseToOpenAIResponses(ctx context.Context, modelName strin
 
 // ConvertClaudeResponseToOpenAIResponsesNonStream aggregates Claude SSE into a single OpenAI Responses JSON.
 func ConvertClaudeResponseToOpenAIResponsesNonStream(_ context.Context, _ string, originalRequestRawJSON, requestRawJSON, rawJSON []byte, _ *any) string {
-	log.Debug("ConvertClaudeResponseToOpenAIResponsesNonStream")
 	// Aggregate Claude SSE lines into a single OpenAI Responses JSON (non-stream)
 	// We follow the same aggregation logic as the streaming variant but produce
 	// one final object matching docs/out.json structure.