The cashiers are gone. The fry cook is gone. The drive-thru order taker is gone. The cooks are gone.
You'll still have a preparer that will probably also do running (they'll bag the multiple, separate items up and take them to the front). You'll have a shift manager that will help with a bit of everything (eg if a customer has a problem with the order kiosk or payment). You'll still have a human cleaning the building and parking lot, taking out trash. There will also obviously be people routinely involved in machine maintenance, installation, etc.
There will be some complication with condiments and food layering. There will probably be a position for food ammo reloader, that keeps the machines loaded with whatever that machine cooks / prepares.
It would be possible to get rid of the bagger/runner, but it'd probably be cost prohibitive and needlessly complex to assemble the various robots on a line that could also bag properly.
At its best, eventually, this system will produce more food (1.5x to 4x I'd guess), at a lower per customer cost, with superior food safety (including hygiene). Then it's a question of how much of that gain gets competed away (benefiting customers) and how much goes into the pocket of the owners.
Starbucks will be similar. They won't get rid of all their humans, they'll reduce their number significantly.
It's likely to be a decades long, piece by piece, transition. The early results won't be spectacular for either customers or franchise owners, it'll take many years of gradual improvement.
A robot just does what it's told.
Starbucks used to have manual machines and the results were...variable. Some days you'd get a substandard drink, but if you got someone who knew what they were doing, the results were fantastic.
It's like before the coffee would be anywhere beteween a 6 and 9 out of 10. Now they're consistently 7.5 out of 10 every time. Boring, predictable, never bad, but never great.