The difference between the Instant Pot and Rice Cooker ingredients is that there's more water used for the Rice Cooker method. As for the method, you need to caramelize the aromatics before adding to the rice cooker.
I'm using a Cuckoo rice cooker (which kind of pressurizes the pot), but if you have one with just a loose lid that rests on top, increase the water to 1.5 cups water (375 mL).
Rinse and drain your rice until the water runs clear. It should take about 2-3 passes of water. Drain well in a fine mesh sieve and set aside.
Cook the aromatics on the stove: In a medium pot over medium heat, caramelize onion and celery until the celery is almost as soft as you would like it before it goes in the rice cooker (it won't really cook enough to get mushy in there with the rice)
Add the garlic, tomato paste, and chili powder, and cook for another few minutes to bloom the spice and caramelize some of the tomato paste.
Turn off the heat, then add 1.5 tbsp vegetable broth paste and 300 mL of water (about 1 cup + just under 1/4 cup) Mix well to evenly dissolve the tomato paste and broth paste, then transfer to the rice cooker pot and mix in the rice to evenly submerge.
Add the pinto beans on top, then hit Cook (I just use the regular white rice setting, which is about 50 min). If you only have a cook/keep warm type rice cooker, DO NOT OPEN the lid once it flips to Keep Warm, let it steam through for another 20-30 minutes.
Then open up, and enjoy with avocado and lime juice.