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/vendored/protocol/livekit_rpc_internal.proto

@@ -0,0 +1,83 @@
+syntax = "proto3";
+
+package livekit;
+option go_package = "github.com/livekit/protocol/livekit";
+option csharp_namespace = "LiveKit.Proto";
+option ruby_package = "LiveKit::Proto";
+
+import "livekit_egress.proto";
+import "livekit_ingress.proto";
+
+message StartEgressRequest {
+  // request metadata
+  string egress_id = 1;
+  string request_id = 2;
+  string sender_id = 10;
+  int64 sent_at = 4;
+
+  // request
+  oneof request {
+    RoomCompositeEgressRequest room_composite = 5;
+    TrackCompositeEgressRequest track_composite = 6;
+    TrackEgressRequest track = 7;
+  }
+
+  // connection info
+  string room_id = 3;
+  string token = 8;
+  string ws_url = 9;
+}
+
+message EgressRequest {
+  // request metadata
+  string egress_id = 1;
+  string request_id = 2;
+  string sender_id = 5;
+
+  // request
+  oneof request {
+    UpdateStreamRequest update_stream = 3;
+    StopEgressRequest stop = 4;
+  }
+}
+
+message EgressResponse {
+  EgressInfo info = 1;
+  string error = 2;
+  string request_id = 3;
+}
+
+message IngressRequest {
+  // request metadata
+  string ingress_id = 1;
+  string request_id = 2;
+  string sender_id = 3;
+
+  oneof request {
+    UpdateIngressRequest update = 4;
+    DeleteIngressRequest delete = 5;
+  }
+}
+
+// Query an ingress info from an ingress ID or stream key
+message GetIngressInfoRequest {
+  string ingress_id = 1;
+  string stream_key = 2;
+  string request_id = 3;
+  string sender_id = 4;
+  int64 sent_at = 5;
+}
+
+message IngressResponse {
+  IngressInfo info = 1;
+  string error = 2;
+  string request_id = 3;
+}
+
+message GetIngressInfoResponse {
+  IngressInfo info = 1;
+  string token = 2;
+  string ws_url = 3;
+  string error = 4;
+  string request_id = 5;
+}