Most of the half-wave (single diode) rectifier tubes designed for "AC-DC" transformerless series-heater string radios have a "tap" on the heater for a dial light.
If the light bulb blows, or is removed, the tube will still operate.
If you do apply 32 or 35 V (AC or DC) across the entire heater (pins 2 and 7), you should see a reasonably-low voltage between pins 2 and 3, where pin 2 to 3 to 7 is a voltage divider from that 35 V.
If you use a DC lab supply for that test, it needs to be able to supply 150 mA at 35 V; series-string heater circuits are normally specified at the design current (0.15 A for this tube).
The reason for this connection is that the time constant for the tube heaters is much longer than that of the small filament in the dial light (nominal rating for #47 is 6.3 V at 0.15 A).
If the bulb were connected directly in series with the heaters, it would be OK after everything is hot and the series-string current has stabilized at 0.15 A, but it would probably blow before that when the series-string current is several times higher than 0.15 A.
The fancy trick with the heater tap is to allow the radio to operate when the small bulb is open-circuit.
According to the GE/Ken-Rad data sheet, with the #47 bulb you should get 32 V total from 2 to 7 at 0.15 A, and 5.5 V across the #47 bulb connected from 2 to 3.
Without the bulb, you should get 35 V at 0.15 A from 2 to 7, and 7.5 V from 2 to 3 (with no bulb connected).
https://frank.pocnet.net/sheets/093/3/35Z5GT.pdfNote the comment at the top of the datasheet about having the plate-cathode current flow through the tapped section of the heater.
Also, the circuit diagrams at the bottom of page 2: the resistor in series with the other heaters may not be needed (depending on the tube heater voltages), and the resistor in parallel with the panel light is needed if the rectified DC current is > 60 mA.