Fix loading agent server settings (#34662)

Release Notes:

- N/A

crates/agent_servers/src/settings.rs

@@ -29,9 +29,12 @@ impl settings::Settings for AllAgentServersSettings {
     fn load(sources: SettingsSources<Self::FileContent>, _: &mut App) -> Result<Self> {
         let mut settings = AllAgentServersSettings::default();
 
-        for value in sources.defaults_and_customizations() {
-            if value.gemini.is_some() {
-                settings.gemini = value.gemini.clone();
+        for AllAgentServersSettings { gemini, claude } in sources.defaults_and_customizations() {
+            if gemini.is_some() {
+                settings.gemini = gemini.clone();
+            }
+            if claude.is_some() {
+                settings.claude = claude.clone();
             }
         }