This 3-speed trans is gonna have to go...
You guys are making a lot of ASSumptions here.
https://www.youtube.com/watch?v=CfN1zZDPm-U
i stick by my answer, we can't wave magic wands and fix your perception
you only have so many options
make sure the column shift and linkage is free, not rusted / bound up/ bend and operating properly, the clutch is operating properly, and learn to double clutch.
upgrade the gearbox to either the full syncro 3 speed or a 4 speed