You may want to check out the Starbucks timeline. They did not raise an astronomical amount of money right off the bat. Blue Bottle is a closer comparison. They also grew organically for many years before raising a serious round. There must be an example of a successful food chain that raised a ton of money in their first few years but I can't think of it off the top of my head.
https://www.starbucks.com/about-us/company-information/starb...