Implement cursor broadcasting backend

backend/Cargo.lock

@@ -2589,6 +2589,7 @@ dependencies = [
  "tower-http",
  "tracing",
  "tracing-subscriber",
+ "ts-rs",
  "uuid",
 ]
 
@@ -2622,6 +2623,15 @@ dependencies = [
  "windows-sys 0.59.0",
 ]
 
+[[package]]
+name = "termcolor"
+version = "1.4.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "06794f8f6c5c898b3275aebefa6b8a1cb24cd2c6c79397ab15774837a0bc5755"
+dependencies = [
+ "winapi-util",
+]
+
 [[package]]
 name = "test-case"
 version = "3.3.1"
@@ -2920,6 +2930,31 @@ dependencies = [
  "tracing-log",
 ]
 
+[[package]]
+name = "ts-rs"
+version = "10.1.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "e640d9b0964e9d39df633548591090ab92f7a4567bc31d3891af23471a3365c6"
+dependencies = [
+ "chrono",
+ "lazy_static",
+ "thiserror 2.0.12",
+ "ts-rs-macros",
+ "uuid",
+]
+
+[[package]]
+name = "ts-rs-macros"
+version = "10.1.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0e9d8656589772eeec2cf7a8264d9cda40fb28b9bc53118ceb9e8c07f8f38730"
+dependencies = [
+ "proc-macro2",
+ "quote",
+ "syn 2.0.90",
+ "termcolor",
+]
+
 [[package]]
 name = "tungstenite"
 version = "0.24.0"