Update:
I have socketed and swapped the two 6821Ps and that has made no difference.
I also bought a Diagnostic cartridge that just produces gobbledygook.
I my scoping, I have noticed something that seems wrong. IC36 has no output on pin 4 but does have inputs on pin 5:
Pin 5
IMG_20260309_172053.jpg (6.98 MiB) Viewed 315 times
and pin 6:
Pin 6
IMG_20260309_172101.jpg (6.94 MiB) Viewed 315 times
I have tried a different 74LS02 with the same result.
It seems that pin 4 should output the NOR operation between the R/W signal (pin 32 of the 6809) and the SAM S2 signal (pin 25 of the 74LS783.
Could you try checking if there's good continuity between pin 5 of the 74LS02 and pin 32 of the 6809, and from pin 6 of the 74LS02 and pin 25 of the 74LS783?