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Yes, of course airflow over the wings is required for a plane to take off, and therefore it must move forward.

Unless it has a large (>1) power to weight ratio.

You still need airflow over the wings to turn it up to allow the propeller to produce lift. Unless you are flying a V-22 Osprey

Or you could have a tail-sitter... but I thought none of these were necessary points to mention.

You mean thrust to weight ratio?