I think there should be a rule in brainking, that a game is draw automatically if the same position is repeated three times. Not only in this game. But it is hard to program that...
I think, you cannot compare this situation in Jungle with a check in chess, because the attacked piece is not forced to move away. What about a rule, that you have to make an other move or move an other piece, if you had moved out of a "Check" two times in the same way? :-)
(kaŝi) Se vi volas ludi kontraŭ ludanto de simila nivelo, vi povas difini intervalon de BKR ĉe invito al nova ludo. Tiukaze neniu kun BKR ekster tiu intervalo povos vidi/akcepti ĝin, (Katechka) (Montri ĉiujn konsilojn)