This is actually a very common situation that drivers face in
Singapore. Somehow, the local birds aren't very responsive to
oncoming vehicles. 
From my personal experience though, once you get
close enough, they'll fly off. I haven't encountered a scenario
where the birds don't.
As for the advice for your TP test, slow down but don't stop. Just
drive through. Trust me, that 99.999%, the birds will fly away.
They're less responsive but not stupid.
