Actually, melting the "icebergs" would actually lower sea level. Icebergs are, by definition, floating. Therefore they are already displacing their mass of sea water. Melting them would only introduce an amount of very cold fresh water into the oceans, the melt water being colder than the surrounding ocean would cause a small amount of thermal contraction.
Melting the icesheets would raise the sea level. But that would require all the solar energy that hits the earth to be concentrated on them for thousands of years. I.e it's not going to happen.
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