Each Wednesday there is a real time Hex tournament onthe Spanish server http://www.ludoteka.com/ at 2100 hours their time, which is 1500 in New York.
You would need to register there for free, and download the client app which requires an older version of Java which they also provide a link to.
There is also a similar Havannah tournament each Friday at 2300 local time. The time control for both is 1 minute for each player with 7 seconds increment per move. You are not out of the tournament until you lose all your "lives."
At the moment I post this, The Hex tourney is just 2 hours away, but if you miss it there's always next week.
Arek, have you tested it out by playing in the play zone? I will go there in a few minutes. If the Java is too new, you may discover you cannot make a move.
I am not that great at Havannah and I got crushed by at least two players there. They use a different rating system which is difficult to compare to here, but some of the ratings were over 3000.
For me, running Linux, this jre file was jre-8u241-linux-x64.tar.gz
You do not need to install this. Just unpack it into whatever folder you want.
Here is what my command lilne looks like to invoke the Ludoteka client. You need to use the complete path names to the jre you will use and to the Ludoteka jar file.
Little Golem