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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There will be military action, but without a declaration of war!
The declaration of war entails legal consequences such as the mobilization of the population, the imposition of curfews, and others. If war is not declared, but simply fighting is underway, this gives more room for maneuver. Declaring war on countries in conflict is not accepted and is very dangerous. Let's recall Iraq or Yugoslavia, there was no state of war there, everything was done by operations to enforce peace or impose democracy. But by no means a declaration of war. Without declaring war, a State can be recognized as an aggressor that invaded the territory of a neighbor with whom it had good neighborly relations, and it recognized the people's right to self-determination.

Declaring war on a state can have negative consequences. In this case, economic ties with other countries, even with those that support them, immediately begin to crumble. Thus, sanctions may be imposed, and the implementation of UN sanctions will be closely monitored. This can also have consequences up to and including expulsion from the UN. And yes, a country that has been declared at war can be officially helped with the approval of the United Nations, so to speak, by the whole world.
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The weakening of Russia as a geopolitical rival, the severing of Europe's energy and political ties with Russia, the increasing dependence of Europe on the United States in the field of security and resources, the growth of exports of American weapons and energy resources, the strengthening of US leadership in NATO and the demonstration of global influence without direct participation in hostilities.
US benefits from the end of the war: consolidating achieved results (a weakened Russia, Europe tied to the US, Ukraine in the Western sphere), reducing financial and political costs, lowering the risk of direct escalation, stabilizing the global economy, and the opportunity to focus on a more priority rival—China, while retaining the role of key global arbiter.

Other countries also benefit from conflict, but the difference is that the United States has more resources, more influence, and more severe consequences from any crisis.
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Because he can't win
Biden is under serious pressure within his party. The American president is being forced to drop out of the election race as soon as this coming weekend. The White House claims that Biden is capable of serving a second term as president, provided he is elected, but he has little chance of defeating Trump.

The Democratic Party's presidential candidate will be chosen at the party's national convention, which will be held from August 19-22 in Chicago. And it will not be Vice President Kamala Harris. Biden is one of Ukraine's main sponsors. President Zelensky has already stated that by the end of the year the war will end its active phase, which means they are preparing for a change in the US leadership.
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