F. Murray adjusts an air conditioner on a windowsill. Then he opens the other window and gets out a stopwatch. He sees Robert Bauman shouting about his company is called "Bauman and Associates," which makes whoever he's shouting at a mere Associate. A pink-haired lady bumps into Bauman, and the air conditioner plummets onto his head. She screams.
Holmes and Watson arrive on the scene. Holmes doesn't think it's a coincidence. Watson thinks it was a stroke of bad luck, which is silly. She can't imagine someone being able to drop something accurately? I admit that I'm impressed that the air conditioner still hit Bauman even though the pink-haired lady changed his path, though.
Brownstone. Watson folds clothes and an air conditioner goes past her window. She's outraged that Holmes was throwing air conditioners off the roof. Holmes points out that he made sure the courtyard was clear, and he hit the X, so it's not that unsafe after all. I don't know why he needed to throw an actual air conditioner. Everything falls at the same rate, so he just needed something about the same size. He figures Bauman was not in charge of the murderous scheming, but he probably facilitated the introductions and got removed before he had to be paid. So there's an untraceable shell corporation behind the plan to develop the speakeasy. Holmes is convinced he's on the track of one of Moriarty's agents, like Moran. But instead of being a weird serial killer, this one specializes in murders that do not appear to be murders. He seems more useful. I'd go with him all the time. I mean, given the choice between "idiosyncratic weirdo who always does the same extremely obvious thing and also has quirks like watching Arsenal games and being Vinnie Jones" and "innocuous guy who makes murders look like accidents so the police don't even look twice at them," I know which one helps my organization work in secret.
Holmes plans to clean up the wreckage of the air conditioning unit, then plan a murder.
Hillary Taggart is the last living relative of Al "The Prawn" Taggart, who ran the Taggart speakeasy. She's also the only one who wants to keep the museum as it stands, so Holmes thinks she's the next logical target. She always makes a fuss when the landmark status comes up, so she'll probably get quietly accident-murdered before she does that. See how much easier this is with the accident-murderer? Imagine trying to keep this secret with Moran's ridiculous blood-draining nonsense. Holmes does not want to warn Taggart. He wants to study her in her natural habitat and figure out how to kill her on the theory that then he'll be in the right place to see someone else doing the same thing.