Making a battery causes emissions once, using gas causes emissions for every tank refined, transported, and burned. You cross the threshold into reduced emissions pretty quickly- power generation on the grid is exponentially more efficient than refining and burning gas continually.

Bio fuels are just a different kind of oil. Hydrocarbons reacting with oxygen to release CO2 and heat.

Lithium mining is evaporating saltwater with sunlight.

I'm sure there's concern there, but I would like to see how that is offset by the elimination of various extra systems a EV doesn't need like the transmission, drive line, gear boxes, diffs, drive shafts, axles, and the various fluids needed for maintenance and lubricantion of these various systems.

Then there is the mining for the various computer controlled components for these systems but that's probably a wash.

Short answer, all the emissions from building a new battery are about on par with a single year of gas consumption. If you include charging from the current US electrical grid, break even is two to three years.

Your average gas car produces two to three times its weight in carbon dioxide every single year it’s on the road. The climate impact of building cars is rather small compared to the impacts of using them, even in modern EVs the co2 cost of building them is only a third of the electricity to power them off the modern grid, which itself is about half of what a gas car outputs.

Ballpark estimate

Finally, while it might improve with further agricultural electrification and carbon reductions, at present biofuels only offer a 33% reduction in co2 emissions compared to using straight gas. By contrast EVs offer a 60% to 100% reduction in fuel co2 emissions.