That would put him in the public eye.

As shown by Azula, you can overthrow the Earth King anytime if you control the Dai Li, which he did.

Though Long Feng loves power, he wouldn’t want to become the front and center of everything

He is very secretive but he alre

My bad accidentally posted early I meant to say he already kinda ruled ba sing se by feeding lies to the earth king and controlling the government so he could rule it

Long Feng does not need to overthrow the Earth King because he already gain the man's trust and has full control of Ba Sing Se. What reason would he have to overthrow him? Besides, if he did that would place him in the public's eye and many would find it suspicious.

The reason is To Kill the Avatar & Become Dictator of Ba Sing Se!

He already controlled Ba Sing Se and there was no reason for him to kill the Avatar.

Long Feng hated the Avatar so he has to Kill Aang! Also in Book 2 finale Feng had this attempted planned in his Head!