It all depends on who all comes along for the ride. If it’s just you immortality would get old fast as everyone you love dies and the world you knew and understood passes from memory. If it’s a good chunk of society, including presumably some of your loved ones, then you lose a lot of that time displacement. Even then though you’ve got the brain problem, the human brain has serious issues internalizing the passage of time, the older you get the faster time seems to move, when I was a kid looking forward to 2000 and the dawn of a new century it seemed like forever in the future even though it was less than 20 years, now it’s 14 years in my rearview and feels like a couple weeks ago, got reminded yesterday this bicycle I ride I bought 7 years ago and was just stunned. That telescoping effect would get pretty scary as your age climbs into multiple centuries and even a millennia, you’d blink and a whole other century would fly by.
Immortality sounds good on paper but the logistics of it aren’t so exciting.
I think it would get pretty boring.