Zoey's basis in her partnership interest $($outside basis$)$ is $$50,000$ on Jan. $1,2023.$ She is a $20\%$ partner. During $2023,$ she receives a $$3,500$ cash distribution from the partnership. Also, the partnership earns $$100,000$ of income during the year, so Zoey's share is $$20,000.$ What will her basis in her interest be on Jan. $1,2024?$