Oh wow. I figured it was something more like that and I'm just being given the runaround. Well good to know before I waste anymore of my time or money. The drink in question is Chelmsford Ginger Ale. Founded in the 19th century, went out of business in the 1940's when the company folded and the original recipe and flavor died with it. It was apparently the greatest ginger ale in the country. They were as large as Coca Cola at one point. My neighbor has an unopened bottle and approached me. My town where this was originally made would love to have the original recipe but it was lost. There is a local store that tries to replicate it but locals say it doesn't taste the same.
My budget is $4,000. Some methods I can think of are Gas Chromatography / Mass Spectroscopy (GC/MS), Liquid Chromatography / Mass Spectroscopy (LC/MS), Ion Chromatography (IC), Nuclear Magnetic Resonance Spectroscopy (NMR), Gas Chromatography / Flame Ionization Detection (GC/FID), Thermogravimetric Analysis (TGA), Thin Layer Chromatography (TLC), Scanning Electron Microscopy / Energy Dispersive Spectroscopy (SEM/EDS), Gel Permeation Chromatography (GPC), Atomic Absorption Spectroscopy (AAS), High-Performance Liquid Chromatography (HPLC), SVOC Analysis, Ultraviolet / Visible Spectroscopy (UV/VIS), Inductively Coupled Plasma (ICP), X-Ray Diffraction (XRD), Rotary Evaporator Concentration, and Soxhlet Extraction Distillation just to name a few. There are quite a many ways to get this done.
I may purchase my own GC machine. That would be a fun project.
So it's not a question of whether it's scientifically possible, it's a question of whether it can be legally done. That's not something I took into consideration. I wasn't sure if I was being denied because carbonated beverages break down ingredients over time making it difficult. Many I reached out to outright told me they don't offer the service, even though it says on their website they work with beverage companies and manufacturing firms. Plus entrepreneurs. I told one company I was an entrepreneur starting a new business and they hung up the phone. No joking about that.