Yes those three ways are truth and nothing but truth.
But if we were meant to chase heaven as in the place where God dwells, the purpose The Lord stated In Genesis 1 for humankind would not be valid.
If we were meant to go to heaven as a purpose of following Christ, I'm sorry to disappoint you but in reality, The Lord never stated that to be our destiny, our forever destiny. All that happened in the Bible and what's been happening is The Lord working His will to be done on earth as it is in heaven.
From beginning to the end, our destiny is only Him and Him alone.