The timing alone isn't what makes or breaks a challenge - it's trickier than that. People update wills all the time when they're perfectly sharp, and a week before death doesn't automatically suggest incompetence. That said, if she genuinely had early-stage Alzheimer's documented, that *could* be relevant, but you'd need to show she specifically lacked capacity at the moment she signed, not just that she had the diagnosis.
My neighbor went through this after her dad died, and honestly it was messier than she expected. He'd changed his will a few months before the end, cut out one daughter entirely, and the family assumed he was confused because of his declining health. Turned out he just had a grudge - his doctor confirmed he was lucid when he signed. They dropped the challenge fast once they realized they'd need medical testimony proving otherwise, because that meant deposing his doctors, getting records, maybe even a neuropsych evaluation done retrospectively (which is weaker evidence anyway). The legal fees alone made it not worth pursuing.
What you actually need is contemporaneous medical evidence - so records from around the time she signed the will showing what her cognitive state was. Doctor's notes, test results, anything timestamped close to that date. If she saw a neurologist or did any cognitive testing, that matters. You'd probably also want witness testimony from whoever was present when she signed - did she seem confused, did she understand what she was doing, could she articulate why she was making changes? And yeah, talk to an estate lawyer in your state before going further, because the burden of proof and what counts as "evidence" varies. Some states make it harder to challenge than others, and the costs spiral fast if nobody's willing to settle early.