Deprecate initialize method

Author: mattt

Sources/MCP/Client/Client.swift

@@ -220,8 +220,7 @@ public actor Client {
         }
 
         // Automatically initialize after connecting
-        let result = try await initialize()
-        return result
+        return try await _initialize()
     }
 
     /// Disconnect the client and cancel all pending requests
@@ -485,7 +484,23 @@ public actor Client {
 
     // MARK: - Lifecycle
 
+    /// Initialize the connection with the server.
+    ///
+    /// - Important: This method is deprecated. Initialization now happens automatically
+    ///   when calling `connect(transport:)`. You should use that method instead.
+    ///
+    /// - Returns: The server's initialization response containing capabilities and server info
+    @available(
+        *, deprecated,
+        message:
+            "Initialization now happens automatically during connect. Use connect(transport:) instead."
+    )
     public func initialize() async throws -> Initialize.Result {
+        return try await _initialize()
+    }
+
+    /// Internal initialization implementation
+    private func _initialize() async throws -> Initialize.Result {
         let request = Initialize.request(
             .init(
                 protocolVersion: Version.latest,