Cleaning refrigerator water line

I have a 5 year old whirlpool refrigerator, and the water line has slowed quite a bit, despite changing the filter every 4 months or so.

I would like to clean out the line, but am uncertain of the best way to do so.

I am contemplating using a turkey baster with white vinegar amd pushing this into the line from the back of the fridge while someone is activating the water button to pump it through the internal system. I'm not aware of a pipe cleaner or anything made for this.

Thanks in advance for any help.