Is forgiveness a gift to the poor?

A city in financial distress.
He borrowed 400 NIS from me for a moment and apparently forgot about it.
(This was during a stressful time when people were in a hurry)
If I declare in the morning after the scroll that the debt is forgiven, did I go out as a gift to the poor?
And is it appropriate for me to forgive? And my wife for another? And my family members each for another share of the debt (without them knowing who it is about) and so they too will go out as a gift to the poor?
Should I inform him that the debt is forgiven? Or is it enough that I don't mention it between myself and him, and since we didn't write it down, he certainly won't come to pay? (At most, he'll come and say that I'm sick…)
And yes, another doubt is whether I always have a side to dance, but apparently there is no real consensus on it, but there is a tendency. Isn't that a defect?
Have we already been forgiven?
And the poor man generally has a wife and many children.
Is it appropriate that part of the gift to the poor person should be for him and part for his wife and children, and then I'm all set because they are 2 poor people?