We just had our fridge repaired due to the ice blockage. The repair guys advised me to call plumber and do following:
1. Replace needle valve with the on/off one, like the one it is used when connecting a dishwasher to a water supply.
2. Secure copper line to the wall and coil it so it doesn’t move much when the fridge is moved for cleaning.
3. Replace the connection between the copper line and the fridge.