Michael.
I drew out layout plan as you confessed that you struggle with wiring. The diagram first posted is good but hard to figure out for you particular question. I drew a plan that is what it would look like on your control panel.
When you take the wires to the switch machine you have a 50 / 50 chance of driving it the correct direction the first time. Just switch solenoids and they will cooperate.
The plan here shows that one button can do two things. The crossover button will drive both turnouts. The "through" buttons are redundant so that either one will set both tracks back to straight through. It makes things very easy for visiting operators.
Let me know if you need additional explanation. For clarity I showed only the power circuit and drew ground symbols that will share one side of each solenoid. It doesn't matter which side of the solenoid is ground. It's just making a momentary magnet.
see ya
Bob

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Electricity...... damn useful stuff ! ! ! !