"Please do research on train infrastructure failures around the world"
already done. mostly they're successful. california had some stumbles in the beginning, but it's complex project is fixing itself up. spain only has had pitfalls due to the rapid pace of building HSR dealing with slow psychology not adjusting to the presence of which. china has lost billions on hsr, but also builds it at a faster pace than any other country in the world.
train infrastructure failures have to be cherrypicked to build a narrative.
meanwhile, japan, germany, france, and italy are success stories in the railroad infrastructure.
"Amtrak has been losing money for years"
amtrak's business model is focused on rural populations as well as the northeast. of course that's not going to be profitable.
"Research what is going on right now in Great Britain"
yes, i know about HS2. however, the real success story in britain comes from legacy. HS2 is only 1 mistake pitted against several successes:
the channel tunnel
the east coast main line
london underground
blackpool tramways