Both ways of phrasing the question are correct, and the answer would be the same either way.
Web3 refers to the third generation of the World Wide Web, which is built on decentralized technologies such as blockchain and peer-to-peer networks. The goal of Web3 is to create a more open, transparent, and secure internet, where users have more control over their data and interactions.
The metaverse, on the other hand, is a virtual reality that provides a more immersive and interactive experience for users. It is expected to be built on the infrastructure of the World Wide Web and to utilize various technologies such as virtual and augmented reality, artificial intelligence, and cloud computing.
The role of Web3 in the metaverse is to provide the infrastructure and underlying technologies that would enable the creation of a decentralized and distributed metaverse. Web3 technologies such as blockchain can be used to create a secure and transparent infrastructure for the metaverse, allowing for transparent and secure transactions between users. Additionally, the use of peer-to-peer networks can provide a decentralized way of storing and sharing data, which can enable a more open and accessible metaverse.
On the other hand, the role of the metaverse in Web3 is to provide a more immersive, interactive and social experience for users, and to create new opportunities for business, commerce and innovation. The metaverse could also provide a new use case for Web3 technologies and help to drive the adoption and development of Web3.
In short, the metaverse would be built on the infrastructure of Web3, and the two concepts are closely related and interdependent. Web3 provides the underlying technologies, while the metaverse provides the immersive and interactive experience that users would expect from the next-generation internet.