feat: make logging non-blocking

Cargo.lock

@@ -1769,6 +1769,7 @@ dependencies = [
  "tokio-websockets 0.11.4",
  "tokio-websockets 0.13.2",
  "tracing",
+ "tracing-appender",
  "tracing-subscriber",
  "twilight-gateway",
  "twilight-http",
@@ -6613,6 +6614,12 @@ dependencies = [
  "thiserror 2.0.17",
 ]
 
+[[package]]
+name = "symlink"
+version = "0.1.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "a7973cce6668464ea31f176d85b13c7ab3bba2cb3b77a2ed26abd7801688010a"
+
 [[package]]
 name = "symphonia"
 version = "0.5.5"
@@ -7147,6 +7154,19 @@ dependencies = [
  "tracing-core",
 ]
 
+[[package]]
+name = "tracing-appender"
+version = "0.2.5"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "050686193eb999b4bb3bc2acfa891a13da00f79734704c4b8b4ef1a10b368a3c"
+dependencies = [
+ "crossbeam-channel",
+ "symlink",
+ "thiserror 2.0.17",
+ "time",
+ "tracing-subscriber",
+]
+
 [[package]]
 name = "tracing-attributes"
 version = "0.1.31"