The main thing is to check whether the radiator is clogged with deposits. If the upper part is cold, it might not just be air, but sludge that's accumulated inside over time. When the heating fluid flows from bottom to top and hits a plug of dirt, the hot water doesn't get past it. A Mayevsky valve will bleed air, but it won't clean out the radiator tubes.
Try flushing the radiator. To do this, disconnect it from the heating system (shut off the supply and return valves), open both valves fully, and direct the water flow through the radiator into a tub or bucket - the water should flow with pressure. If you don't have a second valve for flushing at home, you'll have to disconnect the radiator completely. Many management companies do this if complaints pile up. If the radiator hasn't been cleaned in a long time, there will definitely be rust and deposits inside - the water might come out dirty, almost black.
If flushing doesn't help and half the radiator is still cold, the problem might be in the circulation of the heating fluid throughout the radiator. Sometimes you need to redo the connection or adjust the shut-off valves. But first try flushing - it often solves the problem completely.