We didn't really want to do this before, as it was not necessary since botbot.me was hosting it just fine. I've noticed that for several times, the [d__d] bot quits the channel and only comes back after either a few minutes, a few hours, and once or twice even a few days.
It's annoying to have missing logs, and I think it's important for people who want to catch up to what was discussed. That's why I'm proposing to self-host this bot (source: https://github.com/BotBotMe/botbot-web or improved version here: https://github.com/MetaBrainz/botbot-web). For the link we could settle with logs.miraheze.wiki
If it's agreed upon, I can set up the puppet config, though it is more complex than the other two bots we currently have.
An easier alternative is to use wm-bot logging, but it is just plaintext and I think users would prefer a "nicer" setup which also allows you to Search things, and to easily select dates.