Never come across the double factorial before - thanks Josh!!

Rustic is good!

...and... the scheme says –30 °C for the reduction but the procedure says "ice bath"...

Also, their procedure seems to have omitted the reducing agent...

Even accepting the premise that AI produces useful writing (which no one should), using AI in education is like using a forklift at the gym. The weights do not actually need to be moved from place to place. That is not the work. The work is what happens within you.

... in an email that addressed me as "Dear Professor“

I got an invitation to speak at this one, but guessed it must be a scam because they offered to pay for my registration, accommodation and travel!

What's more you can sit at the front of DLR trains and pretend you're driving them.

I had no idea anyone actually read those!

Nice work! Certainly more elegant than my approach which ended up having to solve sec(θ) + tan(θ) = 3-√2 !
tinyurl.com/fiddler140225

I came at it from a different (and certainly less rigorous) direction. Pleasantly surprised to find I got the same answer as you! tinyurl.com/Fiddler310125