Hi (again) bojooth,
The wall between your Unit and the one adjoining is Common Property, and the maintenance / repair of faults within it is the responsibility of your Owners Corporation.
However, in this case the problem that you're experiencing with the egress of water from the adjoining Unit into yours is not due to any fault within the common wall, as kitchen floors/walls don't have a waterproof membrane like the wet-areas within the Unit (bathroom/s, laundry)
In this instance, the fault has been identified as being with an appliance within that adjoining Unit – specifically a dishwasher. So, rectification of the problem, whether that be user-error or with the appliance itself, is the responsibility of the Owner of that Unit and/or the Managing Agent.
You should immediately contact that Owner (ideally in writing, with copies to the Building Manager and the E/C Secretary) to notify them of the problem as identified by your Building Manager, and insist that they take immediate action to identify the fault, and to remedy it.
With regard to liability for the damage to your Unit's floor coverings, technically the Owner of the adjoining Unit is liable, but as there's apparently no permanent damage, albeit due to your prompt actions, I'd leave that alone provided the leakage issue is promptly addressed.