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The ice manufacturer line to my fridge presently doesn’t have shutoff valve and I also’d choose to include one but i cannot determine what size the connector is

The ice manufacturer line to my fridge presently doesn’t have shutoff valve and I also’d choose to include one but i cannot determine what size the connector is we bought a 1/4 inches valve considering that the ice manufacturer connector we have actually says 1/4 FCM it did not fit on it but. It seems similar to 1/8 inches, however…