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WRAPUP 10-Ukrainian force begins evacuating from last Mariupol stronghold

(Adds Zelenskiy quote; details from Ukrainian military, deputy defence minister)

* Ukrainian forces evacuate from Mariupol plant

* Ukraine regiment says it is saving lives of troops inside

* Evacuees arrive in Russian-controlled town

* Putin responds calmly to Finland, Sweden NATO move

By Natalia Zinets

KYIV/MARIUPOL, Ukraine, May 16 (Reuters) - Troops holed up in the last Ukrainian stronghold in the besieged port of Mariupol began evacuating on Monday, appearing to cede control of the once prosperous city to Russia after months of bombardment. Ukraine's deputy defence minister said 53 injured troops from the Azovstal steelworks were taken to a hospital in the Russian-controlled town of Novoazovsk, some 32 kilometres (20 miles) to the east.

Another 211 people were taken to the town of Olenivka, in an area controlled by Russian-backed separatists, Deputy Defence Minister Anna Malyar said. All of the evacuees will be subject to a potential prisoner exchange with Russia, she added.

Reuters saw five buses carrying troops from Azovstal arrive in Novoazovsk late on Monday. Some of the evacuated troops were wounded and carried out of the buses on stretchers. Some 600 troops were believed to have been inside the steel plant.

"We hope that we will be able to save the lives of our guys," Ukraine President Volodymyr Zelenskiy said in a late night address. "There are severely wounded ones among them. They're receiving care. Ukraine needs Ukrainian heroes alive."

Ukraine's military said it had "ordered the commanders of the units stationed at Azovstal to save the lives of the personnel" and that troops there had fulfilled their combat mission.

Efforts to rescue troops still inside were under way, the military added. It did not say how many troops remained.

Ukrainian troops say they held out in Azovstal for 82 days, buying time for the rest of Ukraine to battle Russian forces and secure Western arms needed to withstand Russia's assault.

But the evacuation likely marked the end of the longest and bloodiest battle of the Ukraine war and a significant defeat for Ukraine. Mariupol is now in ruins after a Russian siege that Ukraine says killed tens of thousands of people in the city.

Since Russia launched its invasion in February, Mariupol's devastation has become a symbol both of Ukraine's ability to withstand Russia's invasion and of Russia's willingness to devastate Ukrainian cities that hold out.

The evacuation came hours after Russia said it had agreed to evacuate wounded Ukrainian soldiers to a medical facility in Novoazovsk.