What are the claims of authenticity of these two sites of Jesus' burial, the Garden Tomb and the Church of the Holy Sepulchre?

There's been a lot of news recently about the renovation of the Church of the Holy Sepulchre and the opening of the tomb for the first time in a long time (200 years I believe). Growing up though I had always been shown pictures of the Garden Tomb as the likely site of Jesus' burial and resurrection. I am curious to know what claims of authenticity each site have, as well as other major purported sites of Jesus' burial and resurrection (looking around online it seems there are more than just the two named here). I ask all this with the realization that it is probably impossible for us to know the exact location of Jesus' tomb from archaeology and tradition alone. I'm not asking for an answer as to which location is the most likely location, just what claims of authenticity each site have.