This would have a better chance of success if they dropped the dots over the "u."
Lot's of countries have changed their name in recent years (e.g. Czechia, eSwatini) but those changes rarely take in the public consciousness. Some of the decades-old changes still haven't caught on. For example, Kyrgyzstan officially became "the Kyrgyz Republic" just after independence in the 1990s, but it is still regularly referred to as "Kyrgyzstan" by everyone because its neighbors are a bunch of other former-Soviet -stans.
The only successful name changes I can think of date back to before the end of the cold war. Siam's change to Thailand seems to be broadly recognized (maybe the popularity of Thai restraurants helped). The Democratic Republic of Congo became Zaire, and that seems to have caught on. It caught on so well, lots of people didn't realize it changed back to the DR of Congo in the post-cold war period.
Burma changed to Myanmar in 1989, the very end of the cold war period. I think that change gets more recognition than most just because Myanmar is in the news so often, with the news reports invariably beginning with "Myanma, the former Burma." After you read that a few hundred times it does eventually sink it. On the other hand, the Democratic Republic of Congo is pretty newsworthy too. But Westerners pay less attention to African countries. Also because there is another Congo (the Congo Republic) the name "Congo" might not strike people as new enough to note as a change.
In any case, I highly doubt that anyone will refer to that Anatolian country with Ankara as its capital and Istanbul as its biggest city as "Türkiye" when writing in English anytime soon.