Good news, bad news: I have a brand new battery to install in the car.
The battery did not charge during the night, the Bosh C3 charger seems to not work anymore (Miata's battery is dead too).
I checked this morning with a voltmeter and it was at 11.9V (12.0V on the scangauge).
Thanksfully, piano lesson is only half an hour and the coolant was at 65C when I arrived over there (battery at 12.2V engine off), so I was able to restart no problem later (ext temp is -18C today).
Costco had no H8 battery, only H6 at 129$, so I went first at CT (I knew how much it is at Walmart). Filthy aisle, unable to find and understand which battery they have until I finally found one, their top of the line, at 240$.
So I went at Walmart and bought the everstart Maxx-H8 for 150$. After the taxes and the recycling fee, it was 190 CAD$.
Strange thing, you are not allowed to return it for exchange or refund, the counter woman wrote it on my invoice and then explained it on the phone to someone else. Is it an usual way to do for batteries?
She checked in her book that the right battery size is H6 for my car, but H8 batteries can fit too.
I wanted to buy it just in case of (not to go back again in case I really needed it later, -10 to -15C all week long next week) and make mine work in the meantime, but it seems it would be easier to do the swap now since I cannot return it.
A new charger is next on my shopping list, it seems. They had three different types from the same brand at Walmart: One with 6A max, one with 10A max and the last one with 20A max for a fast charge (2A for slow charge and 4 or 6A for medium speed charge).
If I cannot find why the Bosch C3 charger does not work, which one is better to buy to recharge and then maintain the Miata's battery for the winter and then use it to recharge the factory BMW battery (I will use it to test my leds works for now)?
It seems I am not as good as I thought electrically side, so your inputs are welcomed.