i just watched your bannerlord videos. good job, keep it up! with this battle specifically, seeing that this is mainly an infantry-based aserai force, and that you have superiod troops in terms of troop tier, you could probably have fought and won at the bridge is u forced a bridge battle. cou can form up your infantry at the end of the bridge, get your archers on your left flank to shoot at the enemy from their non-shielded side. your cavalry takes an alternative path to beat their cavalry(you have cavalry superioty in this case) then go for their archers and finally hammer and anvil their infantry. wel that how i wouldve played it butye strategically it wouldve been better to just get a bigger force as you wouldve suffered less casualties but i personally do not like taking other parties to form an army as those parties could be doing something else.(i also like to fight outnumbered as i like the thrill, but thats just me)