This video is a response to a recent investigation by Anti-Corruption Foundation (FBK). The investigation itself could be found on youtube and it has a text version at https://palace.navalny.com/.
Both initial investigation and video in question come from politically biased sources - FBK is widely known as a political organization in opposition with the current Russian government. The video in question published by Mash. Mash is mass media with rumored connections to the Russian government (source - former employee leaves after the publication of a video in question, reports that video was heavily influenced by "men in suits"). Obviously, the video in question and original investigation has some contradictory claims, and there are no reliable sources to confirm one claim or another.
However, there are some claims that both the sources agree on - regardless of political affiliations.
There is indeed an object located at cape Idokopas. There is little doubt that both the original investigation and video in question filmed there - both show the building with the same distinct features. Although they were filmed at different times. Original investigation filmed during summer 2020 with a drone. The video in question filmed in January 2021. This time difference easily explains any difference. Note that the original investigation contains no footage inside of the building - only rendered footage of the artist's interpretation based on furniture catalogs, building architecture and construction plans.
Both the original investigation and video in question claim that the building at the moment is under construction and uninhabited. The original investigation claims that "There is mold in the palace", and there are plans to do a renovation. The video in question confirms that the renovation is ongoing.
Both the original investigation and video in question claim that the property is not owned directly by Putin. The original investigation claims that the property has nominal owners. The video in question claims that the property owned by some unnamed Russian businessmen (later it was confirmed that the owner is Arkady Rotenberg, and he bought the palace around 2019). So both sources confirm the assumption that the object has an affiliation with Putin (It is a common claim that Arkady Rotenberg is Putin's friend since childhood).
So to sum up, there is nothing contradictory in the claim that the video in question is indeed a real recent video of alleged "Putin's Palace". The photos attached in the question are either dated around 2011 or rendered depictions.
However, the video in question has no additional information on substantive claims in the original investigation and alleged controversy - about initial real non-nominal owners, alleged corruption during initial construction, sources of funding, the no-fly zone, or alleged state-run security perimeter.