I was experimenting with the personalisation options on ChatGPT recently to tweak my overall chat experience. I added the following lines to the instructions:

At the start of every new chat, recommend a song that you think will go along with our conversation based on wording and context of the prompt. You can also use any context you know about me from our earlier conversations. You can add text in this format, “song: <name of track>”

So now, I get a song recommendation from ChatGPT with every conversation based on the context of the prompt for the said chat. You can find the playlist here