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Python 3, 58 bytes

Working on golfing it down.

I know there are already other Python answers, but I thought I'd post this one too seeing as it scores pretty well compared to the others, despite being a full function and not a lambda.

Takes input as function parameters, and prints to STDOUT.

def f(s,n,i=0):
 for c in s:print(end=[c,c*n][i%n<1]);i+=1

Try it online!