refactor: standardize constant naming and improve file-based auth handling

- Renamed constants from uppercase to CamelCase for consistency.
- Replaced redundant file-based auth handling logic with the new `util.CountAuthFiles` helper.
- Fixed various error-handling inconsistencies and enhanced robustness in file operations.
- Streamlined auth client reload logic in server and watcher components.
- Applied minor code readability improvements across multiple packages.

internal/translator/codex/claude/init.go

@@ -8,8 +8,8 @@ import (
 
 func init() {
 	translator.Register(
-		CLAUDE,
-		CODEX,
+		Claude,
+		Codex,
 		ConvertClaudeRequestToCodex,
 		interfaces.TranslateResponse{
 			Stream:    ConvertCodexResponseToClaude,

internal/translator/codex/gemini-cli/init.go

@@ -8,8 +8,8 @@ import (
 
 func init() {
 	translator.Register(
-		GEMINICLI,
-		CODEX,
+		GeminiCLI,
+		Codex,
 		ConvertGeminiCLIRequestToCodex,
 		interfaces.TranslateResponse{
 			Stream:    ConvertCodexResponseToGeminiCLI,

internal/translator/codex/gemini/init.go

@@ -8,8 +8,8 @@ import (
 
 func init() {
 	translator.Register(
-		GEMINI,
-		CODEX,
+		Gemini,
+		Codex,
 		ConvertGeminiRequestToCodex,
 		interfaces.TranslateResponse{
 			Stream:    ConvertCodexResponseToGemini,

internal/translator/codex/openai/chat-completions/init.go

@@ -8,8 +8,8 @@ import (
 
 func init() {
 	translator.Register(
-		OPENAI,
-		CODEX,
+		OpenAI,
+		Codex,
 		ConvertOpenAIRequestToCodex,
 		interfaces.TranslateResponse{
 			Stream:    ConvertCodexResponseToOpenAI,

internal/translator/codex/openai/responses/init.go

@@ -8,8 +8,8 @@ import (
 
 func init() {
 	translator.Register(
-		OPENAI_RESPONSE,
-		CODEX,
+		OpenaiResponse,
+		Codex,
 		ConvertOpenAIResponsesRequestToCodex,
 		interfaces.TranslateResponse{
 			Stream:    ConvertCodexResponseToOpenAIResponses,