By the way, even BART could increase throughput today without adding more lines. Not all trains are 10-car trains, because they don't have enough cars in the fleet. Adding more cars to their trains is a significantly cheaper prospect than adding a new lane to the Bay Bridge (which was also basically fully maxed out on throughput during peak traffic times, pre-COVID). And BART carries substantially more people across the Bay than the Bay Bridge does.
So, certainly the BART needs more capacity, both now and in the future - but so do the highways.
Note that I didn't make my point to say that we should build another bridge, just the pedantic detail that BART traffic isn't that much larger than Bay Bridge + San Mateo Bridge, which is a more apt comparison. I think actually you'd want to add in the Golden Gate Bridge, another 110K. So basically, there are more people commuting into SF driving over bridges than taking BART in.