Fair question Mike -but I suggest it's a non-starter in terms of global warming potential; C02 used in such processes,is derived for the job, almost entirely-from other extant processes- a productive use of byproduct, not a thing generated for purpose. C02 as a by product from ammonia (fertiliser and many other industrial uses) is an enormous slice of the domestic C02 supply/market; whereas -say -your example - C02 as a side-effect or waste from brewing -when you think about it, cannot be significantly-different from so much organic material left to rot instead ( -say - like natural woodland: there is carbohydrate, yeasts, time, organic rot(s)... it doesn't not all turn to coal given eons, by any means. Brewing less obvs might be better for our livers /health collectively... but it wasn't ever a prime source of C02 emissions.
But while C02 is a convenient measure, and especially so in relevance and catastrophic volume to huge industrial processes we ( as a species) must improve upon - it is far from the only elephant in the room.
The really insidious things are the gasses in widespread use with far greater GWP than C02, that take longer to break-down - if ever. Methane is a massive issue here -esp. leaks from gas wells, gas industry etc.
Industrial refrigerants, the working fluid in the heat pumps that currently appeal to save us - potentially even more so.
The road ahead also contains potholes^^^^ unappreciated / hidden buried mineshafts to trap the unwary.
It will actually take a new level of honesty & transparency between industries, people, and nations, to negotiate.
And that - imo- is that really hard bit - not the 'technology.'