I'm confused - you have two apps that have this activity? The one trying to launch it, and another one that has just that activity? So are you trying to launch a different app, or a different activity within the same app?
You changed the intent-filter action - that is not how it is in the article. So the only activity that reacts to "com.hmkcode.android.another.app.ANOTHER_ACTIVITY" is the first app - which you said is not what you want. Why does the first app even have AnotherActivity in its manifest?
You have to be odd to be #1 - Seuss. An odd little ad: