The other ninety-nine get a form letter with no reasons in it.
Resubmit the application that was turned down. It gets critiqued, reviewed by founders who have been where you are, and considered for funding by Integral.
The same application, as you sent it. Which accelerator turned it down, and when. From here it is under consideration by Integral.
The hardest question a partner would ask, the weakest sentence you wrote, and what would change the answer.
Critique two other founders properly and a founder critiques yours. People who have been rejected read applications differently.
Every version stays. What changed between them is what Integral weighs most when deciding who to back.
Ninety-nine out of a hundred. The maths was never about you.