I think we're in the rush period now. I applied on 15th May and I think most people who applied in May are still waiting for their ATAS.
I haven't had any updates regarding correction etc but let's hope everything goes smoothly.
That being said there is a very high chance you can get it in August. I have been told by my university that they will accept a late joining by 31st October so I think if you ask your university, it might also give you a few more weeks.
Best of luck.