The divider string (intensity, focus) total 1.18MEG at 680V so 0.58mA for that, plus the CRT.
Tried to estimate the current from the scope schematic, at the other (cathode pin 3) end, got 0.12mA if the measurements are accurate.
That CRT does not have an isolated second anode, couldn't find datasheets on any. So it would be very low current compared with only 660V. Control grid current and focus electrodes are less than 50uA.
I would say a 1mA power supply would do.