fix: Fix MCP server identification for multi-project workspaces (#8070)

## Closing issue

closes #7930

Author: krrish175-byte

metals/src/main/scala/scala/meta/internal/metals/mcp/MetalsMcpServer.scala

@@ -15,6 +15,7 @@ import scala.util.Try
 import scala.util.control.NonFatal
 
 import scala.meta.internal.bsp.BuildChange
+import scala.meta.internal.metals.BuildInfo
 import scala.meta.internal.metals.BuildTargets
 import scala.meta.internal.metals.Cancelable
 import scala.meta.internal.metals.Compilations
@@ -106,9 +107,12 @@ class MetalsMcpServer(
       .build();
 
     // Create server with configuration
+    // Include project name in server info to help LLM distinguish between servers
+    // when multiple projects are open in the same workspace
+    val serverName = s"$projectName-metals"
     val asyncServer = McpServer
       .async(servlet)
-      .serverInfo("scala-mcp-server", "0.1.0")
+      .serverInfo(serverName, BuildInfo.metalsVersion)
       .capabilities(capabilities)
       .build()
 
@@ -137,8 +141,8 @@ class MetalsMcpServer(
       LoggingMessageNotification
         .builder()
         .level(LoggingLevel.INFO)
-        .logger("scala-mcp-server")
-        .data("Server initialized")
+        .logger(serverName)
+        .data(s"Server initialized for project: $projectName")
         .build()
     )
 

tests/unit/src/main/scala/tests/mcp/McpTestUtils.scala

@@ -4,7 +4,7 @@ import scala.concurrent.Future
 
 import scala.meta.internal.metals.UserConfiguration
 import scala.meta.internal.metals.mcp.McpConfig
-import scala.meta.internal.metals.mcp.VSCodeEditor
+import scala.meta.internal.metals.mcp.NoClient
 
 import tests.BaseLspSuite
 
@@ -17,7 +17,11 @@ trait McpTestUtils {
         UserConfiguration(startMcpServer = true).toString
       )
       port <- Future.successful(
-        McpConfig.readPort(server.workspace, "root", VSCodeEditor)
+        McpConfig.readPort(
+          server.server.folder,
+          server.server.getVisibleName,
+          NoClient,
+        )
       )
       _ = assert(port.isDefined, "MCP server port should be defined")
       client = new TestMcpClient(s"http://localhost:${port.get}", port.get)

tests/unit/src/test/scala/tests/mcp/McpServerLspSuite.scala

@@ -467,11 +467,17 @@ class McpServerLspSuite extends BaseLspSuite("mcp-server") with McpTestUtils {
   override def afterEach(context: AfterEach): Unit = {
     super.afterEach(context)
     assertEquals(
-      McpConfig.readPort(server.workspace, "root", CursorEditor),
+      McpConfig.readPort(
+        server.server.folder,
+        server.server.getVisibleName,
+        CursorEditor,
+      ),
       None,
     )
     assert(
-      McpConfig.readPort(server.workspace, "root", NoClient).isDefined,
+      McpConfig
+        .readPort(server.server.folder, server.server.getVisibleName, NoClient)
+        .isDefined,
       "MCP server port should be defined in the default location",
     )
   }