Faith's "Game" in 'Five By Five'

So, I've recently started getting back into the Buffy/Angel fandom over here on Reddit, and there's something that's almost certainly been discussed to death by now, but it's my first time bringing up the topic, so my apologies if this is repetitive.

After several times watching 'Five By Five,' I think it shows just how horrifyingly intelligent Faith is, and how if she had been facing off against anyone but Angel, she would have won her 'game' and gotten herself killed. I think she had made a lot of carefully planned gambits that kept on failing because Angel refused to give up on her, but a less forgiving, less understanding, more vengeful person would have taken her bait.

The moment she decides to start this gamble is when Wolfram and Hart hire to her to kill Angel. She thinks she understand him. She knows that he's capable of taking her in a fight. After the revelation of self-hatred in 'Who Are You' over on BTVS, Faith jumps at the opportunity to throw herself into a fight with Angel.

The first step of the game is introducing herself with a crossbow bolt to his back in the middle of the day. I don't think this was anything more than a message as if to say, "I'm here, I'm trouble, and you're gonna have to kill me if you want to win."

The next thing she does is show up at Angel's office and opens the blinds, hoping to antagonize him. Then she throws him a revolver. This is a test to see how far he'll go at this stage of the 'game.' The first round is a blank, but the second round isn't. If he's really 'in the game,' he'll fire rapidly and probably kill her, and the blank will go unnoticed. But he fires only one shot - the blank - and tosses it back to Faith. She now knows that he needs some more encouragement, so the next round - a real bullet - gets shot back at him. Faith is trying to make herself seem unhinged and dangerous. She also gives him "an open invitation" so he can reach her when he finds her.

Then she shows up at Cordelia's place, and she outright says that "I don't think Angel's in the game." And her next question is "What can I do to REALLY make him hate me?" Her goal is very clearly NOT trying to kill Angel, or she would be a lot more direct, I imagine. As a Slayer, Faith tends to take her fights head-on. But that's not her goal, so she kidnaps Wesley.

And she does torture him brutally and horrifically. And this is the one part that I don't think is about getting Angel to kill her. Or at least, not entirely. Like she tells Angel, Wesley is personal. She blames him for pushing her fully out of 'She can be helped' and into 'I don't need or want help anymore' back in BTVS Season Three, and I don't think she's entirely wrong. It doesn't justify the horrors she inflicts on Wesley, and he has every right to be pissed at Faith AND pissed at Angel for - in his POV - treating her with kid gloves in 'Sanctuary.'

Then Angel appears, taking Faith's earlier invitation, and he refuses to play her game. Faith doesn't die, and she gets a chance to heal. A very long, very difficult healing process that may take the rest of her life, but she gets that chance. But if it had been anyone other than Angel who Faith had challenged to this 'game,' she might have won/lost and it would have been a tragedy.

And I suppose the point of this post is just me theorizing that Faith is a lot smarter than she lets on, and that she used that intelligence to carefully plan out how she'd get her 'opponent' to play against her in this twisted game. And I was wondering if anyone else thought that everything listed above was intentional and deliberate on Faith's part, or if I'm reading too much into things.

Again, I'm new to the Angel Reddit, so please forgive me if I'm repeating something that's been talked about ad nauseum. Hoping to have an enlightening discussion with you all. ^_^