Wiring Issue Headlamp not working Continued...

I tested to make sure I had power going into Z.
That's the battery feed/charge line.

It looks like Y is the hot feed to headlamp
It is the feed to the headlight high beam
It looks like Y is the hot feed to headlamp and X is like a return
NO. Its the feed to the low beam.
The headlights have a ground wire going to the radiator support. That's the return.
I have power on Z but no power coming out of Y. Does the power from the battery go directly to the bulkhead connector and then come out of Y to feed the headlamp or does it feed the switch first and then power the lamp?

The battery feed's the switch first, then the high/low switch, then to the headlights.
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There also is a power feed from the alternator. This connects at welded splice in the harness.
Power will go to the switch from either the alternator or the battery. When the car is running, its the alternator because its power is at 14+ Volts rather than 12ish volts.