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/gemini/claude/gemini_claude_response.go

@@ -12,7 +12,6 @@ import (
 	"fmt"
 	"time"
 
-	log "github.com/sirupsen/logrus"
 	"github.com/tidwall/gjson"
 	"github.com/tidwall/sjson"
 )
@@ -42,7 +41,6 @@ type Params struct {
 // Returns:
 //   - []string: A slice of strings, each containing a Claude-compatible JSON response.
 func ConvertGeminiResponseToClaude(_ context.Context, _ string, originalRequestRawJSON, requestRawJSON, rawJSON []byte, param *any) []string {
-	log.Debug("ConvertGeminiResponseToClaude")
 	if *param == nil {
 		*param = &Params{
 			IsGlAPIKey:       false,
@@ -248,6 +246,5 @@ func ConvertGeminiResponseToClaude(_ context.Context, _ string, originalRequestR
 // Returns:
 //   - string: A Claude-compatible JSON response.
 func ConvertGeminiResponseToClaudeNonStream(_ context.Context, _ string, originalRequestRawJSON, requestRawJSON, _ []byte, _ *any) string {
-	log.Debug("ConvertGeminiResponseToClaudeNonStream")
 	return ""
 }