The bike is a 'light assist' ebike which doesn't give enough grunt for every application.
That's where your handy test comes in, presumably, as you've bought the bike, the power will be sufficient for your purpose.
Which is good news because light assist also means lighter weight and, importantly, lighter battery consumption.
The motor is Specialized's version of the Mahle/Fazua crank drive.
Spesh has tinkered with the spec by fitting their own battery iteration which has a useful extra amount of capacity.
The downtube integration is also a little neater than some other Fazua bikes, and I bet yours won't suffer from the annoying Fazua battery catch problem.
I strongly suggest you do not buy an after market charger for two reasons.
You already have a smart charger from Spesh - that's one of the benefits of paying a bit more for the brand.
The charger does everything for you in terms of charging at a suitable rate but not over charging the battery.
It will come with brief instructions along the lines of 'don't leave it plugged in for a week', but it wouldn't matter that much if you did because it has plenty of overload protection.
Apart from barking when you already have a dog, the other reason for not plugging in an after market charger is doing so might brick the software.
Some of the bigger companies are very protective of their electronics and resist any attempts at anything other than specified use.
The system may be able to record lots of details of how it has been used - Bosch bikes can - so if it does conk out due to a dodgy charger it might be able to tell the dealer, which in turn will compromise the warranty claim.
On t'other hand, the big brother printout can be useful, my Bosch one runs to two pages and has some good stuff on it about battery health and the like.
The Fazua motor is known to be decent, and should be even better with the few factory tweaks.
The rest of the bike is Specialized, so you can be confident you're getting something decent there.
Overall, the job should be a good 'un.