Attraction / Outdoor

My friend and I will be in Aguas Calientes in a couple of weeks. We are deciding whether to hike up to Machu Picchu in the early morning or take the first (5:30am) shuttle up. We have tix to hike past Machu Picchu (we got Montaña Picchu, as Huayna Picchu was already sold out), so we’ll already be doing some hiking. Just wondering if the hike up from Aguas Calientes is worth it, since we may arrive too late for the sunrise anyway? Appreciate any advice from those who’ve been to Machu Picchu!