Then there is the elephant that is manufacturing in China…Possibly even using Uighur slave labor to produce their wares. Most of Treks bikes come from China now (as do those of many other “major companies”).
Personally, some time ago I decided to stop buying Chinese-made items, whenever there is an alternative. Last two years all my new cycling gear is Made in Europe, and will be going forward. I am willing to pay a premium for knowing my gear is environmentally and humanely reasonably made. I will not buy any more bicycle frames either that have been made there (thou to be honest, I only have a couple that are made in Taiwan, and the newest one is more than 10 years old), with components it gets more tricky.
What comes to offsetting emissions by taking the bike instead of the car, that is easy. I have not owned a car since 2002. And I drive a borrowed car about once a year or so, not much to offset.