..I would like to ask if it would be possible for you to share the latest full schematic of the board you built.
Welcome to the club! Below the schematics.
The power source not shown.
I've been using an LM723 based 15V source (with a mains transformer). After the rectifier there is 20.6V on a 2200uF/35V capacitor. An LM317 or LM7815 based PSU may work fine (or a similar).
Another power input is for 5x18650 cells (21V) through an 1N4001 diode when powered from battery. The cathode of the 1N4001 wired to the 2200uF/35V capacitor.
The temperature sensor not shown. I've been using an LM35 sensor (10mV/degC).
I would not connect the sensor (a chip or a NTC resistor) to the ground or Vcc of the reference. Let the sensor float.
I do not have the 10ohm in the heater wired. The datasheet has it there..
The RISET (aprox 109ohm DIY manganin wire wound in my case) is for setting of the 10.000V at the output. Its "10V setting sensitivity" is aprox -300uV per "+1ohm of the RISET's change" (the sensitivity may vary per sample).
Wima foil red bricks like 3u3 for 50V (and the other values perhaps too) may have large leakage at 40-50degC. So doublecheck the leakage at ambient and at higher temperatures.
Opamp - other AZ/choppers may work fine. Perhaps jfet or bipolar one with small TC as well.
ADR1001 package soldering - I've been using copper wires (a spider web or trampoline style), somehow thick (perhaps 0.2mm), next time I will use even thinner one. Also a flex pcb may work nice.
C2 and R8 - yep, the R8 there is after the C2 - I did it because of a post from past where it was indicated the OPA189 has got higher noise with a capacitor wired directly on its input.. Not sure 100% it is so, but I put the R8 there. With none AZ/choppers I would not populate the R8.