Kerouac- Welcome to Auopia!
Glad the car turned out well, bet your daughter will be very happy with it. As I can seldom resist offering advice (unsolicited in this case, hope I don't give offense

), here's some stuff that comes to mind:
If you're gonna wash with Dawn (I'm not one of the many Dawn Haters here, though I question why anybody would use it with all the better alternatives out there..) it's better to wash with the "regular"
shampoo first rather than second; Dawn lacks lubricity compared to carwash shampoos, and you want as much lubricity as possible when washing the (abrasive) dirt off the paint. If you then need to strip/do a "super-wash" you could use the Dawn/etc. afterwards with less chance of causing wash-induced marring. (Note that Dawn's wax/etc.-stripping abilities are grossly overrated, so much so that I sometimes wonder why anybody thinks it works well enough to bother with; it'll strip something like Souveran, but so will a strong mix of any regular shampoo.)
Speaking of Souvern- I use Souveran on one of my cars, great looking stuff! Very short-lived however, basically needing redone at almost every wash, and it provides virtually zero protection against etching from bugs/bird bombs....just warning you

It's a "beauty wax" IMO, I gave up on using it for daily drivers way back in the '90s!
While I do really like doing LSPs (Last Step Products, i.e., waxes and sealants) by machine, I'll caution you that it won't speed up the process, at least not with something like Souveran. It's more a matter of changing the nature of the motions/effort involved. It might be worth doing if you used something like Collinite 476S for your wax topper (and that, BTW, would be my choice for this application). Note that if you apply the Souveran thinly enough (which is the "proper" way to do it, though it's certainly not mandatory) it'll go on/off so easily that IMO it's actually *easier* than doing it by machine. And when it comes to applying *any* LSP, "thin" is the way to go; most people use many, MANY times more product than they should.
Are you happy using cotton towels to dry? Even with my softest ones (Concours Buffing Towels, "CBT"s, AKA "DFT"s, which are a lot softer than something like Christy or other Egyptian cotton) they'll instill minute marring in most autopaints. I do *far* better with microfiber ("MF") drying towels. I know Zaino advocates cotton, but I doubt you'll find anybody here who thinks that's a good idea.
But hey...if you're happy with what you're doing now, don't let anybody (myself included) talk you into changing anything! That was a nice thing to do for your daughter, and I'm glad you came across Autopia.