Questions regarding cheek fat removal procedures

I would like to inquire about a deep cheek fat removal procedure to tighten sagging skin.
I am seriously considering a deep cheek fat removal procedure because of the fat protruding around my mouth like bulldog cheeks. Since this area does not slim down easily even with dieting, I am unsure which method, such as InMode or thread lifting, would be the most universally suitable.
Has anyone else personally undergone a deep cheek fat removal procedure due to lower face concerns like me?

I am a bit hesitant to decide on deep cheek fat removal because I have heard that it can cause hollowing in the cheeks if done incorrectly. I am curious about the recovery period and whether noticeable line improvement appears immediately after the procedure. I want to achieve smooth facial lines without side effects, so I would appreciate honest advice and recommendations from those who have experienced it.