[Tuma Pacho]

To "accept graciously", as an apology graciously, can mean that what was received is less than expected or originally desired, but accepted anyway in the interest of moving on, or shows accepting the limitations of the situation or of the other party.

"Gracious" here uses the meaning of the word: merciful or compassionate

"I accept graciously the results of this mediation."
"I accepted graciously the disappointing verdict."

I agree, the fact that one is, in the same breath, pointing out this attitude, may be deemed ingracious and so contradictory by some.