refactor: remove unused struct members and methods

Co-authored-by: aider (openai/andrew/openrouter/qwen/qwen3-coder) <aider@aider.chat>

src/modes/server/common.rs

@@ -32,16 +32,6 @@ pub struct AppState {
     pub password_hash: Option<String>,
 }
 
-impl AppState {
-    pub fn password(&self) -> Option<&String> {
-        self.password.as_ref()
-    }
-    
-    pub fn password_hash(&self) -> Option<&String> {
-        self.password_hash.as_ref()
-    }
-}
-
 #[derive(Serialize, Deserialize, ToSchema)]
 #[schema(description = "Standard API response wrapper containing success status, data payload, and error information")]
 pub struct ApiResponse<T> {