So if you used your existing 300-0-300V transformer you'd get 840V(600X1.4) from the bridge rectifier and 420V(300X1.4) from the CT?
Stop thinking in guitar-amp terms. Or better-yet, stop thinking in full-wave rectifier terms.
My attention was captured by the power supply for grids, someone can figure out how it works ?
As you can see they use a CT Transformer with a Full Bridge that has the negative connected to ground, the CT is connected to a cap and than to the grids of final tubes (EL36)
Kagliostro
How does a bridge rectifier work?
Forget the tap, look only at the outside ends of the overall winding. See the first picture for a diagram.
At a given instant, one end is positive and the other is negative. For the positive end, the diode which is between it an the + of the filter cap is forward biased, so current will flow if we complete the path. The other end of the winding is negative, and the diode which is connected from it to ground is forward-biased; that diode completes the path for current to the filter cap - so we have a complete path.
The entire winding is used, so we have an output voltage approaching RMS volts * 1.414 (minus diode drop). However, for each direction of current flow, the center-tap is at 106vac above ground (106v * 1.414 = ~150vdc). Therefore, if a cap is connected to ground, half the output voltage appears across this cap, and alway of the same polarity. So you have a half-B+ output option. See the 2nd and 3rd diagrams to see how this happens.
The bridge always does the same thing, whether you see an given outside end as positive or negative, and compared to ground, the center-tap is always at half-B+ output voltage.
The issue is to stop thinking that the output has to be on the far side of a rectifier. The center-tap in this case is always at half of the full-winding voltage. You
could place a rectifier diode between the center-tap and the cap, but it would be largely doing nothing.