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Belt sander.
With the planer there is too great a risk of tear out. Random orbit unless it is one of the fancy geared Festool ones will take aaaaages.
Edit:. If you really don't want to buy a new tool make sure the planer has a razor sharp, brand new blade (really take your time setting the blade) and is set a the smallest possible setting. Using test pieces set it so that the fore sole is positioned so that nothing is taken a cross the width of the blade and then set it 1 click past this so that it only just cuts. Take many, many passes at this setting until you are 99% of the way there and finish with your random orbit.
A very sharp low angle jack plane would also be a good option.
I’ve got an electric planer and a random orbital.
What’s going to be better to get this flat with? There are 0.5-1mm differences all over the thing.