No, he will stay.
A source close to the Kremlin, who wished to remain anonymous, spoke about Vladimir Putin's plans. He denied rumors that the allegedly incumbent President plans to leave his post. He assures that other candidates are out of the question.

After the elections, little will change in the country
Why and how Putin can remain President of Russia for the next term
It became known who will be President after Putin in 2024: will the Russian leader leave his post in 2023 - latest news
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The winner of the war will put an end to this issue
If the issue of Crimea's ownership had been resolved, there would have been no war.

The issue has not been resolved yet
The problem of Crimea's belonging
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The truce will be concluded in early 2025
In the end, the United States tells Israel to end the war after the elections, reinforcing this demand by stopping the supply of weapons and stopping financing. The problem for the Biden administration is that it cannot twist the arms of Benjamin Netanyahu's government too much, because in an election year this could reduce Joe Biden's own chances of re-election, since the Israeli lobby has strong positions in the American elite.

The Israeli military leadership makes it clear that the war is far from over. The country's authorities insist only on a temporary pause in hostilities, after which they will be ready to resume the offensive, and then only after pressure from the United States. Also, Israel does not have a clear plan for what will happen to the Gaza Strip after the end of hostilities. The head of the Israeli National Security Council, Tzachi Hanegbi, has already announced the prospects of war with the Lebanese Hezbollah group after the successful fight against Hamas. A war with Iran is also possible.
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Vitali Klitschko
The current President of Ukraine Zelensky has been in office since May 20, 2019. At the start of his public service, he was confident that before the end of his term, the fighting in the Donbass would be completed. Despite this, the implementation of the Minsk Agreements did not begin under the leadership of Zelensky, the shelling of the DPR and LPR by the VFU did not stop. There is a lot of negativity against Zelensky, and Klitschko is quite a popular mayor, media and active, he may well not be a virtual competition, as a technical candidate, but a completely real one.

There is a lot of negativity towards Zelensky, and Klitschko is a fairly popular mayor, and he may well compete with Zelensky. The elections will be postponed for a year due to the war, at least until the change of US President Biden. Zelensky, if he loses the election, will not live in Ukraine and has already bought a palace in England.
Boxers will replace the actor: the prospects of Klitschko and Usyk in the presidential elections in Ukraine are assessed
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