Scaling and Root Planing + wisdom teeth removal + braces?!

Scaling and Root Planing + wisdom teeth removal + braces?

first i went to orthodontics he recommended braces to correct my deepbite
also he looked at my xray he told me to have 3 wisdom teeth removed before installing braces.

Then I went to dentist for initial exam (he said I have a cavity and then I had a filling)my dentst recommended deep clean because i never had regular clean before in my life.

I have to get braces, deep clean and wisdom teeth removal all are 3 different specialist which should I get first
when should i have my teeth cleaned(deep clean) 1.before wisdom teeth removal
2. after wisdom teeth removal.3 or after i had my braces

You need to get the deep cleaning done before the braces are put on or they won't be able to do it while your in ortho. Doesn't really matter if you do cleaning first or extractions.