feat(setup): support Cline as a client (#10128)

* feat(setup): support Cline as a client

* test(setup): cover Cline doctor and uninstall ownership

* docs(setup): document Cline support

* test(setup): verify Cline against an installed client

* test(setup): include Cline in the exhaustive client detection list

* docs(setup): note that a hand-written rea entry blocks Cline setup

* fix(setup): isolate Cline verification and await MCP discovery

* fix(verification): own and isolate Cline discovery

* fix(setup): preserve native Cline transport settings

---------

Co-authored-by: morluto <76467478+morluto@users.noreply.github.com>

src/application/ClientConfigurationFiles.ts

@@ -129,7 +129,7 @@ export const readClientConfigurationFiles = async (
     if (document.value !== undefined) {
       const environment = clientRegistrationEnvironment(
         document.value,
-        client.name,
+        client,
         path === client.configPath ? writeOverrides : undefined,
         "fragment",
         platform,
@@ -148,7 +148,7 @@ export const readClientConfigurationFiles = async (
   }
   const environment = clientRegistrationEnvironment(
     effectiveClientConfiguration(documents, undefined, platform),
-    client.name,
+    client,
     writeOverrides,
     "effective",
     platform,