1 grade below entry requirement

I wanna apply to international business at the Uni of Liverpool (need AAB)
I have AAC predicted
A = sociology
A = psychology
C = biology
My bio teacher is so so so so relectunt to boost it as she already boosted it … once from a D to C
Is it worth applying with a strong personal statement and interest in the course with 1 grade below entry requirement ?

Yes it is. According to UCAS, here, 9 in 10 applicants receive offers (data from 2019-2023), with the common grades held by accepted applicants being ABB.

You're doing all the preferred subjects as well so I'd say it's worth a shot.
I would contact them if you're still unsure.