No, capturing CO2 from combustion is hard. Ammonia plants might burn methane for heat, but they don't capture its output.

The actual Haber–Bosch process for reaction directly spits methane into Hydrogen (which is combined with Nitrogen from the air) leaving CO2 as a byproduct.

The resulting CO2 is relatively pure, and it's already captured. You can feed it into anther process (such as Urea) or sell it for carbonisation of drinks.