I also think heating everything up is the smoothest solution. But to offer an alternative, I’d use dental floss to get in between the bowl and plate. If the bowl has slightly rounded edges (I believe it will), it won’t be too hard to get floss in. With the floss you’ll get inevitably some air in… Which will equalise the pressure and break the vacuum.

As an inferior alternative to floss, fishing line could work for this approach as well.