Gotcha. When you said "basically never" I thought you were describing some kind of behavior of constantly approaching but never crossing. To me, if we're already talking about a length of time as comically large as 93 billion years, then contextually I would consider no finite length of time to be "basically never," even if we're talking about an amount of time tens or hundreds of orders of magnitude greater than 93 billion.

>you would basically never reach the other side traveling at light speed

I'm neither a mathematician nor a physicist, but I don't think that's entirely correct. Although the observable universe would be expanding, it would be expanding both in front of you and behind you. This would mean that regardless of how slow your going, the proportion of distance you cover would be constantly increasing, and you would inevitably be able to get to the other side.