Presumably you have other interviews.
I used to be very good at logic puzzles and have steadily been getting worse. Yes I have wider perspective now, but my raw problem solving ability has deteriorated. I can understand if a company wants to maximize problem solving for certain roles.
Ended up telling the sameish stories 3 times.
They offered me a job, then covid happened, then they offered me it at a 10% decrease, then they canceled the contract, then they called me 6 months later. I already had a job at that point and they were begging me to leave.
I think you dodged a bullet. If a company doesn't have their act together enough to actually gather the people they need for a meeting that they themselves set up, it hints that there are deep management-level problems there.
Ended up getting my dream job to be a programmer instead of a (real) engineer. Now I make more money than ever, as you can imagine.