I was told that Airbus allows to temporary repair a hole and permits the aircraft to fly for a month
It would be best to not listen to that person in matters of aircraft maintenance. Such a "allow" would be incredibly specific, certainly not applicable to the nature of the hole in a pressurized skin, and have very strict limitations associated, much more detailed and burdensome than "a month".
In terms of the hole pictured in the pressurized skin of an airliner, it would require a specific repair prior to the next pressurized or revenue flight. It is presumable that Airbus might publish a repair scheme as "approved data", which certainly would be required for this. In the absence of manufacturer's approved data being available, the operator would have to have a repair scheme approved.
Such a repair has implications of immediate strength and suitability, and thereafter, long term fatigue considerations.