Peru in July

Hi! I’m heading to Peru for 2.5 weeks in July. I’m planning on going to Lima, Paracas, Huacachina, Lake Titicaca, and Cusco. I plan on doing the short version of the Inca trail, hiking Rainbow mountain, and just other general outdoor excursions. I’m wondering what the weather is like and how i should pack? is it worth it to bring any type of short sleeve/warm weather clothes? how should i pack in general? i’ve backpacked warm weather countries only in the past so im not sure how to do this. TYIA!