I have read that Flash support would not be available after 2020. Will this have any impact on the Animate software, is there a possibility that Animate will also be discontinued in the near future/
The answer to your concern is plain and simple: No.
agreed, that's why they pivoted and renamed the application from Flash to Animate, as well as started to focus more on the animation tools.
"I have read that Flash support would not be available after 2020."
What you've read is that browser Flash Player support is being dropped. Please read more carefully in the future.