First off, without an ultimately good God as an objective moral and teleological absolute, meaning and morality are subjective, so the foundational proposition of the Epicurean Paradox, “evil exists”, is objectively illogical.
However if God necessarily exists and is objectively and ultimately good, then evil must serve some objectively necessarily and ultimately good purpose. That is, evil is logically necessary for God’s good purpose. To wit:
P1: All that exists serves God’s good purpose
P2: Evil exists
C1: Evil serves God’s good purpose
Which, in turn, logically and necessarily begs the question, what is God’s good purpose?
The Biblical Christian worldview supplies the framework for the most logical, intelligible, and cohesive understanding of God’s good purpose, the role of humans within it and the logical necessity of evil:
A good and loving Creator-Father purposed to glorify His Son as the Judge and Savior of a Creature (Mankind) to whom He has imparted an eternal spirit, moral awareness, and individual sentience. God purposed Mankind as the object of divine Law, Justice, Mercy, and Grace.
Mankind, as a morally aware and sentient being, committed evil by breaking God’s Law and initiated the process of God’s good purpose.
Those that are given ultimate Mercy and Grace will be glorified through Christ and enter into eternal communion with God and those that do not will receive the consequences of eternity separated from God’s Grace and Mercy, eternal Judgement.
God revealed and curated the truth of His good purpose over time by the Holy Spirit via the Bible; the Biblical Christian’s primary material (vs immaterial) authoritative source of truth.