The best battery for your 9-3 is an “096” . This will be the right size and shape, with the terminals in the correct place, to fit. That is the size that was in our 9-3 and it’s been replaced by the same type.
It’s probably 20 years since Saab wrote the spec for the battery in the 9-3 and things have moved on, so you will find the current offerings will probably have a slightly higher spec than required. If you try to use many search functions provided by battery suppliers, you often get offered a type “027” battery. This is a cheaper, lower capacity battery that will also fit. It will work, but for a diesel I would go for the higher performance 096. Our 9-3 is the V6 and also uses the 096.
I got my battery sent on a next day delivery from Tanya. This is their list for 096. You just need a normal battery, not one of the special ones for cars with “stop/start” technology. They are around half the price of Halfords for the same item.
https://www.tayna.co.uk/car-batteries/types/096/When my battery failed, I had the same thing as you with a smart charger. It went quickly through all the stages -suspiciously quickly - But wouldn’t actually show the green light at the end. The second failed battery did end on the green light, but it was back to 10.6v in the morning.
There may be an earth problem, if so, that often improves when the weather is damp and the rusty connections conduct a bit better.
Do try a jump start from another car, if possible.