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His entirely logical plan that makes absolute sense is to sit there and be killed, thereby failing to do what Lex told him to, which would mean his mother was also going to die, and somehow he thinks begging the man who is about to kill him to save his mom, by referring to his mother by name, has any chance of resulting in his mother being saved.
I'm just a silly NOT MUH for thinking not wanting to fight is more clearly represented by destroying the sonics, not throwing Batman though a building, and instead telling Bruce that Lex has kidnapped his mother, he doesn't know where she is, and that he was instructed to kill him to save her but doesn't want to, before asking Bruce to help him save his mother. Then, Bruce would be able to realize that Clark isn't a long-game-playing alien hellbent on subjugating the world following the recognition that Lex has been pitting he and Superman against one another for years at that point, as well as his being able to relate to another son just wanting to save a parent, which could be a less-convoluted trigger than "Martha" for the reflection of the path he had gone down as well as the choice to change.
I just think things like that because I'm just a dumb fan who would have preferred the twist of a movie named Batman v Superman being that they actually don't fight because the two being the World's Finest has always appealed to me more than the two fighting and one being proven to be able to beat the other.