What the power check actually reads
A geo-lift test compares markets you bought with markets you held out. Before the flight, a power check asks whether that comparison could detect an effect of the size you care about. AdBuyMCP runs the check twice: before launch, on London's pre-flight conversions against a fixed 15% target lift, and after the flight, when you ask it to prove a result, on the test market and target you name.
Neither check reads your budget. The pre-launch check accepts a media figure and never uses it. What it reads is the mean and the standard deviation of daily geo-tagged conversions in the test market before the flight, the number of flight days and the lift you want to be able to detect. So the honest answer to "is my budget big enough for a lift test?" is a question back: how many conversions does your test market produce a day, and how much does that number swing?
Source: Meta Open Source, GeoLift walkthrough (open-source docs).