Should I use time-series DB for real-time chat app?

I’m working on a side project (Slack clone) and am not certain if using a time-series database is appropriate for a chat based app.

Even though messages are chronological in order (time based), people might want to start a new thread on a previous message that isn’t the most current message. So the hierarchy isn’t just the time a message was sent, but it’s also based on the message that it’s being responded too as well.

As such, I’m not certain if using a time series database is the appropriate use for a chat app.

EDIT:

Question - What do you believe is the most appropriate data-store to use and why?

(Eg relational, nosql, document, time-series, etc)