Russia claims victory in Mariupol but troops remain

 ISW says:

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The Kremlin’s reduction of the pace of operations in Mariupol is unlikely to enable the deployment of significant combat power to support other offensive operations in the coming days and weeks. Statements from US officials that Russia has not yet removed a dozen battalion tactical groups (BTGs) from Mariupol despite Putin’s claimed victory do not capture either the status of these Russian forces or other constraints on their use.[1] ISW has consistently assessed that Russian BTGs have taken high casualties in the battle of Mariupol, are degraded, and are unlikely to possess their full complement of personnel (800-900 at full strength). As with Russian operations elsewhere in Ukraine, reporting on numbers of BTGs without additional context and analysis of the combat power of these units is not a useful evaluation of Russian forces. While it is unlikely that all 12 reported BTGs were involved in the final fighting around the Azovstal plant, it will still take some time for those units that were engaged in final assaults to disengage for redeployment elsewhere. Some portion of these Russian forces will be necessary for several other missions—including maintaining the siege of the Azovstal plant, securing the rest of Mariupol against any remaining pockets of Ukrainian forces and likely partisan actions, and possibly redeploying to support Russian forces maintaining control of southern Ukraine. Russian forces will certainly be able to redeploy some units from Mariupol to offensive operations elsewhere—but Ukrainian forces have succeeded in tying down and degrading a substantial Russian force, and the Kremlin's declaration of victory has not inherently freed up 12 BTGs worth of combat power for other operations.

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The Russians have decided not to attempt to take over the Steele plant where many Ukraine civilians took refuge and where many fighters remain. The Ukraine forces did manage to tie down significant Russian troops for weeks probably attrition the Russian forces to the point where they will not be of much use in the current offensive in the Donbas.  A smarted strategy would hav been to isolate and bypass the city but there has been little in the way of smart operations from the Russians in this war.

So far the new offensive has had limited objectives with the taking of small towns in the Donbas.