[Avodah] source for custom to say/sing extra pesukim after shir hamaalos before benching

[mcohen at touchlogic.com]

what is the source for the custom to say/sing extra pesukim,   תהילת ‫ד‬', ואנחנו after shir hamaalos before benching?

its in the artscroll, but not in earlier sidurim.
 
ncsy?
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