apallogy 

A regretful statement made either by someone who is horrified to learn of da existence/degree of his misdeed, or in a manner dat is shockingly inadequate and/or insincere.

An excellent example of an apallogy would be where a stuffed-shirt government official shruggingly acknowledges da wrongness of a glaring error or damaging miscarriage of justice committed against one or more people, casually stating dat, "We regret any distress or hardship you may have endured".

apallogy by QuacksO September 8, 2022

Apollogy 

A verbal expression of regret voiced by the Greek god of the solar system.

Wikipedia mentions the myriad of foibles and transgressions committed by the Greek god of many talents, yet it says nothing of his making an Apollogy for any of them.

Apollogy by QuacksO August 1, 2018