On the other hand, the test was very much presented as a puzzle and not a test of her character. To me, it didn't seem so much that she was reluctant to sacrifice Geordie, it rather seemed like she didn't understand what she was supposed to do.
& she didn't understand, because unlike the Kobayashi Maru, there is a solution. It's not a test of character in facing a no win scenario, but it is a test of character, that command is ultimately a duty to send people to die. The turning point in her thinking was not an engineering problem at all. The solution wasn't technical. It was administrative. It was recognizing her prioritization of duty & that one individual life is not at the top.
I'd say that the test itself wasn't posed necessarily as a puzzle, but her approach in trying to field it was like she was trying to solve a puzzle. The test itself was just posed as a potential event she might face. It was her choice to approach it like an engineering puzzle, & after she got stuck in that rut, Riker even started to tell her it wasn't going to happen, & if he hadn't kind of given her a *wink wink* hint, she'd have kept thinking in that vein. Her failure was in not being a person that solves the problem by commanding. Once she got clued into that being the issue, she made the call, but ultimately it wasn't organic, because shouldn't she have been thinking that way all the time? It IS a bridge command exam after all.
She certainly did during the crisis in
Disaster. So we know it's in her wheelhouse already, & IMHO
that's when they should've recognized her capability to make that command call. She should've gotten her bridge command creds right then, if you ask me, & should've been in uniform the next episode, as a recognition of how she'd become different, especially if such a test is conducted solely by the serving crew anyhow. You'd think the command crew itself would want to think logistically after an event like that & realize that Troi is ON the bridge a lot, & at times might be the one who holds rank in a crisis, so... duh
She probably shouldn't have made that crack at Riker's #1 job at the end, or he might've pushed her through then
