Not necessarily, if you include the supply chain of the BEV? (I assume.)
Then you have to include the supply chain of the ICE vehicle too.
Even the worst ev driven off coal nets out to less emissions in its lifetime than gas cars. this has been known and well studied for like a decade. Keep up!
Also their LFP batteries are extremely simple and recyclable forever.
Still significantly lower over vehicle lifetime
https://theicct.org/publication/electric-cars-life-cycle-ana...