Update Eos Ti 3.1.0 build 288 to 3.2.x, need advice

Yes, that's correct. You can update any Ti to version 3.2.6 and you can do so directly from version 3.1.

Just a heads-up: 3.2 has removed the network protocols ETCNet2 (aka EDMX) and Avab/UDP, so of you are relying on these you will have to stay with the latest version of the 3.1 branch.

3.2 included other changes as well (notably the Protocols section in patch) and moved a lot of settings from the shell into setup. All those changes are explained in the release notes, so make sure to read those thoroughly.

Thanks for the answer! For the most part I need new fixture libraries, but I don't mind updating the remote to the latest version due to various issues.

But I still find out whether we use these protocols or not (mainly for synchronizing light and sound)

The protocols would have been used to control lights. They were an older version of sending DMX-like data through the network. Usually those would be controlling older ETC Net2 gateways or an old ETC CEM dimmer processor.

Simplest way to find out if your system relies on your protocols is to have a look in the shell with your current version. In the shell go to Settings > Network. If those protocols are checked you need to figure out if they're actually controlling something. If they're not checked, i.e. currently not being sent anyways, you should be safe.

Thanks for the more detailed explanation