refactor: Move to anstream + anstyle for styling

Cargo.lock

@@ -95,9 +95,9 @@ dependencies = [
 
 [[package]]
 name = "anstyle"
-version = "1.0.11"
+version = "1.0.13"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "862ed96ca487e809f1c8e5a8447f6ee2cf102f846893800b20cebdf541fc6bbd"
+checksum = "5192cca8006f1fd4f7237516f40fa183bb07f8fbdfedaa0036de5ea9b0b45e78"
 
 [[package]]
 name = "anstyle-lossy"
@@ -3757,6 +3757,8 @@ name = "rustc_errors"
 version = "0.0.0"
 dependencies = [
  "annotate-snippets 0.11.5",
+ "anstream",
+ "anstyle",
  "derive_setters",
  "rustc_abi",
  "rustc_ast",
@@ -3773,7 +3775,6 @@ dependencies = [
  "rustc_span",
  "serde",
  "serde_json",
- "termcolor",
  "termize",
  "tracing",
  "windows 0.61.3",
@@ -4327,7 +4328,6 @@ dependencies = [
  "rustc_macros",
  "rustc_session",
  "rustc_span",
- "termcolor",
  "thin-vec",
  "tracing",
  "unicode-normalization",