How are you managing it with ChatGPT? I've always found Claude relatively easy to do it with, but unless they've changed it in the last few weeks it's hard with ChatGPT.
Edit: I should add I often want to keep one or two reference chats, so the "nuke all chats" button doesn't work for me.
"hey, here is a script called delete-all, that deletes all. you need to copy and paste it into your console that you need to open with f12 or whatever. and then it deletes all, trust me, it's safe". State of June 2026. /s
Edit: I should add I often want to keep one or two reference chats, so the "nuke all chats" button doesn't work for me.