RE: Welcome to Club SAITO !
Caution on Schraeder valves please. There are three different types, one of which has the external spring, it obviously can't be used because of its length.
The other two appear the same, but they differ in the strength of the spring that holds the valve shut.
An ordinary tire valve "Core" has the strong spring, if used in an iron Bay regulator the engine will probably run lean as it will require a lot higher "Suction" to deliver the fuel.
The version with the weaker spring (that you want) is commonly used only in engine compression gauges, where the use of the "Standard" type leads to erratic and low readings when testing an engine.
If you see a Mac or Snap-On truck rolling around you can get the correct one from them, or possibly your local auto supply will have a replacement.
They are NOT standard tire valve cores.
Bill.