That's not how black holes work. It takes an infinite amount of time for the light at the event horizon to escape, true. But you can think of it as if it's an "optical effect".
If you are a free-falling observer, _nothing_ changes for you locally at the event horizon. You will cross it and reach the singularity within a finite (and quite short) time.
If you are a free-falling observer, _nothing_ changes for you locally at the event horizon. You will cross it and reach the singularity within a finite (and quite short) time.