Grumble brag

When a person, often intentionally, uses a complaint about their wealth or good fortune as a thinly veiled opportunity to boast about it. Related to humble brag, backhanded compliment

"I can't believe my father-in-law left his brand new luxury car to us when he died. It's such a hassle dealing with all of the paperwork."

"Please. Stop. I can't stand how your grumble brag is pulling at my heartstrings."