Remove TerminalAzBridge and use AzureConnection directly (#19528)

We used to run the cloud shell connector in an intermediate process
because our VT implementation lived mostly in conhost. James fixed that
up over the intervening years, and since #17510 landed Terminal is
exposed to 100% of application-originated VT. That means we no longer
need this workaround, its build steps, or anything else about it.

Closes #4661

Author: DHowett

OpenConsole.slnx

@@ -723,16 +723,6 @@
       <Build Solution="Fuzzing|x64" Project="false" />
       <Build Solution="Fuzzing|x86" Project="false" />
     </Project>
-    <Project Path="src/cascadia/TerminalAzBridge/TerminalAzBridge.vcxproj" Id="067f0a06-fcb7-472c-96e9-b03b54e8e18d">
-      <BuildDependency Project="src/cascadia/TerminalConnection/TerminalConnection.vcxproj" />
-      <BuildType Solution="AuditMode|x64" Project="Release" />
-      <Platform Solution="*|Any CPU" Project="Win32" />
-      <Build Solution="*|Any CPU" Project="false" />
-      <Build Solution="AuditMode|x64" Project="false" />
-      <Build Solution="Fuzzing|ARM64" Project="false" />
-      <Build Solution="Fuzzing|x64" Project="false" />
-      <Build Solution="Fuzzing|x86" Project="false" />
-    </Project>
     <Project Path="src/cascadia/UIHelpers/UIHelpers.vcxproj" Id="6515f03f-e56d-4db4-b23d-ac4fb80db36f">
       <Build Solution="*|Any CPU" Project="false" />
       <Build Solution="AuditMode|ARM64" Project="false" />

build/config/esrp.build.batch.terminal_constituents.json

@@ -17,7 +17,6 @@
             "PackageContents/WindowsTerminalShellExt.dll",
 
             // The rest
-            "PackageContents/TerminalAzBridge.exe",
             "PackageContents/wt.exe",
             "PackageContents/WindowsTerminal.exe",
             "PackageContents/elevate-shim.exe"

src/cascadia/CascadiaPackage/CascadiaPackage.wapproj

@@ -77,9 +77,6 @@
     <ProjectReference Include="$(OpenConsoleDir)src\cascadia\WindowsTerminal\WindowsTerminal.vcxproj">
       <Project>{CA5CAD1A-1754-4A9D-93D7-857A9D17CB1B}</Project>
     </ProjectReference>
-    <ProjectReference Include="$(OpenConsoleDir)src\cascadia\TerminalAzBridge\TerminalAzBridge.vcxproj">
-      <Project>{067F0A06-FCB7-472C-96E9-B03B54E8E18D}</Project>
-    </ProjectReference>
     <ProjectReference Include="$(OpenConsoleDir)src\cascadia\ShellExtension\WindowsTerminalShellExt.vcxproj">
       <Project>{f2ed628a-db22-446f-a081-4cc845b51a2b}</Project>
     </ProjectReference>

src/cascadia/TerminalApp/TerminalPage.cpp

@@ -1491,18 +1491,8 @@ namespace winrt::TerminalApp::implementation
         if (connectionType == TerminalConnection::AzureConnection::ConnectionType() &&
             TerminalConnection::AzureConnection::IsAzureConnectionAvailable())
         {
-            std::filesystem::path azBridgePath{ wil::GetModuleFileNameW<std::wstring>(nullptr) };
-            azBridgePath.replace_filename(L"TerminalAzBridge.exe");
-            if constexpr (Feature_AzureConnectionInProc::IsEnabled())
-            {
-                connection = TerminalConnection::AzureConnection{};
-            }
-            else
-            {
-                connection = TerminalConnection::ConptyConnection{};
-            }
-
-            valueSet = TerminalConnection::ConptyConnection::CreateSettings(azBridgePath.native(),
+            connection = TerminalConnection::AzureConnection{};
+            valueSet = TerminalConnection::ConptyConnection::CreateSettings(winrt::hstring{},
                                                                             L".",
                                                                             L"Azure",
                                                                             false,