Silly question about replying to the last chat

After one output, can I just reply to that message, what Ive been doing is giving more context on each update if needed as if I am replying to the AI’s last message (Claude 4 in this case). The UI is not clear on this, it has a copy function, but no reply icon or function. Now an easy way to test this at least for one message is to say at the end of the first message something codified e.g. "At the end of your output mention my name “Insert name”. Then at the beginning of the next “reply” ask it what your name is.