I would also replace the bigger piece that holds the cable. It's likely broken or soon will be. I'm a fan of this solution:
https://www.ebay.com/itm/16083545088...53.m2749.l2649
For $10, you can have a new piece for all 4 windows ready to install when the next one goes! I only recently installed the first two, but they appear to be a slightly more durable piece than the stock one.
Otherwise, you can also just buy a new regulator. I've probably replaced about a dozen over the years in my BMW's and came to the conclusion that the cheapest $25 ones are essentially as good (actually bad) as the OE BMW ones.
AM.