Stone Pile Game: Alice vs. Bob

Alice and Bob are playing a game where they take turns adding to a pile of stones. Alice starts with 50 stones and can add 1, 2, or 3 stones each turn. Bob always tries to keep the total number of stones in the pile a multiple of 4. After Alice's turn, if Bob can add stones to achieve this, he will. The game ends when the total pile reaches 100 stones, and the player who makes this move wins. Assuming both play optimally, who will win the game?