A software engineer is developing a real-time conversational agent designed to maintain long, coherent dialogues with users. For the agent's underlying language model, they have implemented an attention operation where, for each new token i, the memory component (Mem) consists of the complete set of key and value vectors from all preceding tokens in the conversation. Evaluate the suitability of this specific memory implementation for the engineer's goal of a real-time system. Justify your evaluation by explaining how the memory component's size behaves as the conversation lengthens and the resulting impact on performance.