Australia

I assume the CO2 from the production of those would exceed environmental benefits too

TLDR - Your gas stove is likely emitting somewhere between 2kg and 10kg of CO2 "equivalent" per hour. It's difficult to know exactly how much but even at the low end that's a massive amount of carbon. It might actually be more missions than commuting to work every day in a 4WD.

There's a lot of miss-information around on the subject - and the gas industry has been caught spreading miss-information (or at least misleading information).

For example often they only cite CO2 - they ignore Methane entirely and Methane causes 84x more warming than CO2. Often they say "Methane only lasts for 12 years in the atmosphere, but CO2 lasts for hundreds of years!" when in reality after the 12 years are up, all of the Methane becomes CO2 and continues to contribute to climate change for hundreds of years.

Another thing they often ignore is leaks - gas is very hard to contain especially in remote locations where they pump the stuff out of the ground. The surrounding area near the gas plant literally has methane seeping into the air through the ground. How much methane? Who knows, because they're not as diligent at taking measurements as they should be and they call the police whenever they catch anyone else taking measurements. Sometimes you can see methane bubbles if it happens to leak underwater... but most of the leaks don't happen underwater. When it leaks int to the air it's impossible to detect without expensive equipment.

I might consider that induction hob for balcony cooking though… I do avoid cooking some things due to smell and smoke.

Kmart sells them for fifty bucks, they are tiny and light weight. About the same size and weight as a lid for one of your pots.

They're not as good as a fancy 10 kilowatt unit that needs to be installed by an electrician — but they're still very very good. Better (and cheaper) than all but the most expensive gas cooktops... and since you're renting, I assume you have a cheap gas cooktop?

The main advantage of an induction cooktop is they heat your pot directly. A gas stove heats up the air underneath the pot which is radically less efficient. Really the only drawback is how well it works depends on the materials in your pot. Some of yours might not work (pretty much all modern "good" pots do work).

There's more research on gas hobs now more than anything. It's straight up pollution inside the house. It's your call, of course.

I have a gas stove too, we use the induction when we can. Just to reduce the load.