Copy Linux me2me script to output dir for GN builds

remoting/host/BUILD.gn

Index: remoting/host/BUILD.gn
diff --git a/remoting/host/BUILD.gn b/remoting/host/BUILD.gn
index 618850d5d5e57aad08516fff7f8a4c2c5c19cf49..a79e9c325596b4fc8fcbecd2c295e3fae25d99cf 100644
--- a/remoting/host/BUILD.gn
+++ b/remoting/host/BUILD.gn
@@ -837,6 +837,21 @@ if (is_mac) {  # TODO(GYP) Mac build of remoting host.
           ":remoting_me2me_host_static",
           "//build/config/sanitizers:deps",
         ]
+
+        if (is_linux) {
+          deps += [ ":remoting_me2me_host_runner" ]
+        }
+      }
+
+      if (is_linux) {
+        copy("remoting_me2me_host_runner") {
+          sources = [
+            "linux/linux_me2me_host.py",
+          ]
+          outputs = [
+            "$root_build_dir/run_me2me_host",
+          ]
+        }
       }
 
       executable("native_messaging_host") {