Question about White dot

[Notimetolooz]

No those are in the focus network.
The grid and cathode voltages determine whether the CRT gun is emitting the beam. To cut off the beam the grid would have to be more negative than the cathode.
You didn't say that you have finished re-capping the set. I know opinions differ but you cannot expect a set to be working as it should if it still contains some old caps.
Possible paper caps in the grid and cathode circuit would be C32, C33 and C34.
The grid is indirectly biased from the 245V supply, which also supplies the sweep.
The cathode is indirectly biased from the 135V supply which comes from the audio output cathode, that is a common "split supply" circuit.
The values of C2 and C3 could be intended to hold the cathode more positive while the grid supply decays. Those caps would be suspects.
Of course a resistor might also cause the problem.