feat(sync): add Claude home sync parity across providers

src/sync/mcp-transports.ts

@@ -0,0 +1,19 @@
+import type { ClaudeMcpServer } from "../types/claude"
+
+function getTransportType(server: ClaudeMcpServer): string {
+  return server.type?.toLowerCase().trim() ?? ""
+}
+
+export function hasExplicitSseTransport(server: ClaudeMcpServer): boolean {
+  const type = getTransportType(server)
+  return type.includes("sse")
+}
+
+export function hasExplicitHttpTransport(server: ClaudeMcpServer): boolean {
+  const type = getTransportType(server)
+  return type.includes("http") || type.includes("streamable")
+}
+
+export function hasExplicitRemoteTransport(server: ClaudeMcpServer): boolean {
+  return hasExplicitSseTransport(server) || hasExplicitHttpTransport(server)
+}