With any moped that has been sitting for years, don't trust the tires and tubes not to be dry rotted. Plan on replacing rusty chain, cables, petcock, fuel line, and add an inline filter. Check the light bulbs. This gets you moving down the road safely. Check the wiring harness for bare spots that can short, especially under the fender where the tire could rub. Grease the wheel bearings.
Plan on cleaning a rusty or gunk filled tank. Check that the exhaust isn't plugged. Plan on cleaning the carb, getting a new needle valve, add a new plug, change the clutch bath oil, non detergent 20 or 30 weight.
You are gonna need to check for airflow, spark, and fuel flow.
Engine has been sitting for years. So don't expect great bearings, seals, and piston rings, or condenser. Spark plug coil good?
The major component of a moped is the engine, and in that case it's probably a Minarelli V1. You might not find a Bianchi Eagle manual, but there's plenty of info on that motor.
All those pieces and parts might run you around $200. If you aren't comfortable rebuilding a motor, there's plenty of people here than can help. There's some specialty tools involved which make a single rebuild more expensive the first time you do it.
Try to find a mentor? (edited)