The only job for that wire is to elevate the heaters, and that is done only to reduce potential for hum in the preamp. Since you have no preamp wired, it is irrelevant to getting the heaters lit. You could ground it, but doing that is also merely done to reduce hum, so during the process of just getting the heaters on, you can leave it unconnected.
You can wire two 6v heaters in series to run the pair on 12v, but that ONLY works when the two tubes in a pair have the same heater current. You have the heater currents listed. If you use the same tubes, you can wire it the same as the schematic. The two 6L6 in series works, but note the four preamp tubes at 0.3A each are parallel so they work in series with the 1.2A rectifier heater. If you eliminate one or more of the tubes or if you use different types, you may have to rewire or make other arrangements.
Of course, you always have the option of simply getting a 6v transformer for the heaters and just wire them all in parallel.
You can wire two 6v heaters in series to run the pair on 12v, but that ONLY works when the two tubes in a pair have the same heater current. You have the heater currents listed. If you use the same tubes, you can wire it the same as the schematic. The two 6L6 in series works, but note the four preamp tubes at 0.3A each are parallel so they work in series with the 1.2A rectifier heater. If you eliminate one or more of the tubes or if you use different types, you may have to rewire or make other arrangements.
Of course, you always have the option of simply getting a 6v transformer for the heaters and just wire them all in parallel.
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