Centaur abides by the new FIDE 2014 rules for chess. That means it will be a draw automatically after 5 consecutive repetitions. Next to that he recognises the 3 fold repetition rule but will not claim a draw. But you can see that he will score the position 0.00 when the weaker side can make the 3rd repetition.
The same issue also occurs with the 50 move rule. Centaur uses the 75 move rule after which it automatically is a draw (without a player making a claim). But it also recognises (but will not claim) the 50 move rule as can be seen by his evaluation of the position after 49 moves without capture or pawn move.
I encountered these issues when I first got the Centaur. The discussion about this you can find here: https://www.hiarcs.net/forums/viewtopic.php?p=94160#94160 Because the evaluation of the position by Centaur after 3 fold repetition or 50 moves without pawn move or capture are correct there is no issue in my book because he will try to avoid these positions if he think he's better (and is set at stronger level). The only thing is that the player will have to claim the draw, just like in a game against another human. Next to that it will be automatically a draw after 5 fold repetition (consecutively) and 75 move rule just as it should by the latest modern FIDE chess rules. If you buy another modern chess-computer chances are you will encounter the same "issue".
What is the problem with take back? In my opinion it can't be easier. No messing in the menu, just take back the last move(s) on the board and play something else.
If you have the move list saved on your laptop then if you could post the position and moves concerned here I would be interested to take a look.
The Centaur’s nearest rival in terms of form factor (i.e. large standalone chess computer) is the Millennium King Performance. However, Millennium also decided to forego modernising the computer chess protocol so, as far as I know, draw by repetition three works the same. Also no piece recognition but you can use any set you like without having to make adjustments to them.
I would recommend the DGT smart board to use with your chess engine on your laptop. If it won’t work, you can also use the Arena GUI as a go between. You can also use the Smart Board on Chess.com and other platforms so would give you versatility without the outlay that Millennium puts one through to get similar connectivity.