Rename livekit_server to livekit_api (#24984)

The name `livekit_server` was a bit misleading as it is not a server and
gets built into both the client and server - the server code is in
`collab`.

Release Notes:

- N/A

crates/livekit_api/Cargo.toml

@@ -0,0 +1,30 @@
+[package]
+name = "livekit_api"
+version = "0.1.0"
+edition.workspace = true
+description = "SDK for the LiveKit server API"
+publish.workspace = true
+license = "AGPL-3.0-or-later"
+
+[lints]
+workspace = true
+
+[lib]
+path = "src/livekit_api.rs"
+doctest = false
+
+[dependencies]
+anyhow.workspace = true
+async-trait.workspace = true
+jsonwebtoken.workspace = true
+log.workspace = true
+prost.workspace = true
+prost-types.workspace = true
+reqwest.workspace = true
+serde.workspace = true
+
+[build-dependencies]
+prost-build.workspace = true
+
+[package.metadata.cargo-machete]
+ignored = ["prost-types"]