Difficult hot starting is one of the indications of an over rich mixture
It is also an indication of a failing coil.
So you can clean out thee the carb paying particular attention to the float needle & seat and try again
You can eliminate the coil as a problem by fitting an inline spark tester and seeing if you get a reliable spark when hot.
New ignition modules are not particularly expensive but you don't want to go replacing it if it is still working fine.
One of my customers ended up fitting one of those flashing spark plug caps on his mower as a 4 pack of them was cheaper than the tester,