Remove ApplicationContext::GetApplicationName() (#127597)

`ApplicationContext::GetApplicationName()` and its backing field
`m_applicationName` were dead code — declared and defined but never
called anywhere in the binder.

Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
Co-authored-by: elinor-fung <47805090+elinor-fung@users.noreply.github.com>

Author: Copilot

src/coreclr/binder/inc/applicationcontext.hpp

@@ -84,8 +84,6 @@ namespace BINDER_SPACE
         ~ApplicationContext();
         HRESULT Init();
 
-        inline SString &GetApplicationName();
-
         HRESULT SetupBindingPaths(/* in */ SString &sTrustedPlatformAssemblies,
                                   /* in */ SString &sPlatformResourceRoots,
                                   /* in */ SString &sAppPaths,
@@ -108,7 +106,6 @@ namespace BINDER_SPACE
 
     private:
         Volatile<LONG>     m_cVersion;
-        SString            m_applicationName;
         ExecutionContext  *m_pExecutionContext;
         FailureCache      *m_pFailureCache;
         CRITSEC_COOKIE     m_contextCS;

src/coreclr/binder/inc/applicationcontext.inl

@@ -24,11 +24,6 @@ void ApplicationContext::IncrementVersion()
     InterlockedIncrement(&m_cVersion);
 }
 
-SString &ApplicationContext::GetApplicationName()
-{
-    return m_applicationName;
-}
-
 ExecutionContext *ApplicationContext::GetExecutionContext()
 {
     return m_pExecutionContext;