I don't think my brand of pagan ethics fit exactly either into the Christian nor into the mentioned "pagan" slot.
In Kemetic ethics, the terms are different, and justice is a community thing, not a bilateral issue between just two people.
I'd say the decisive terms are Geroo and Ma'at.
Geroo means "the silent one" and represents the ideal character that one should aspire to, as described in the wisdom texts. A "silent one" is someone who chooses their words with care, isn't easily provoked, and is tolerant of other people's faults while striving to improve their own character.
I think there's a broad agreement here that holds true in different times and cultures: it's not worth getting worked up about small matters. That will just drain your energy and cause unrest. Whether you call it forgiveness or tolerance, or gerw or not-giving-a-f.... As
@Quintessence so beautifully put it: people are different, and some things that people do to me are just a result of their nature.
And if I am not being badly hurt, just mildly inconvenienced, then their right to be who they are supercedes my right live in peace.
The late New Kingdom author Amenemope has an interesting opinion which is almost similar to a Christian stance, albeit 1000 years earlier. He says:
"Steer the boat,
That we will transport the evil one across*
We shall not act like him
Put him into the hand of the god
Fill his belly with bread that you give him
So he will be sated
And feel ashamed"
*Helping someone across the river if they have no boat is a typical "good deed of the day" in Egypt... Kinda equivalent to helping someone cross the street or carrying their grocery bags
So, according to Amenemope you should be the "bigger person". You leave revenge or punishment up to the gods, and instead treat a wrongdoer with kindness, hoping to be a role model and make them understand the error of their ways("feel ashamed"). Is that equivalent to the Christian "forgiveness"?
Of course, that's something you can only do from a position of strength.
If you are hurt, if you are in a weak position and have been wronged, then you demand help and justice from society (as exemplified by the story of the "eloquent peasant" who defends himself at court against a local lord who took his donkeys and trade goods)
Ma'at, justice, means that you want to have justice and fairness in your community. If someone is doing evil and oppressing the weak, we should try to stop it. Via legal means, if possible - upholding justice is the job of state authority.
My conclusion on this principle: you don't need to forgive someone, you don't need to accept and suffer it if someone wrongs you. But you can't go and get revenge - stopping injustice and deciding if/how to punish a wrongdoer is a community matter and should be in the hands of the proper authority (if you are living under an unjust rule, that's difficult of course...but you can still appeal to the gods or try to find a local community that can assist you).