perf(logger): replace serde_json::json! with zero-allocation write! in logger (#1042)

## Summary 
Root cause: commit 3b533a0 introduced `serde_json::json!()` for JSON
formatting, adding per-call heap pressure and a new crate dependency
that contributes to Lambda init duration regression

JIRA: https://datadoghq.atlassian.net/browse/SVLS-8619

- Replaces `serde_json::json!()` in `logger.rs` with direct
`write!`/`writeln!` calls to the tracing `Writer`, eliminating two heap
allocations (a `Map` + `Value`) per log call
- Adds a `write_json_escaped` helper that handles all 6 mandatory JSON
escape sequences inline (`"`, `\`, `\n`, `\r`, `\t`, U+0000–U+001F)
- Removes the `"json"` feature from `tracing-subscriber`, dropping
`tracing-serde` as a transitive dependency and reducing binary size
- The JSON output format is **identical** — no observable behavior
change


## Test plan
- unit tests
- self-monitoring tests

Author: litianningdatadog

bottlecap/Cargo.lock

@@ -34,7 +34,7 @@ tokio = { version = "1.47", default-features = false, features = ["macros", "rt-
 tokio-util = { version = "0.7", default-features = false }
 tracing = { version = "0.1", default-features = false }
 tracing-core = { version = "0.1", default-features = false }
-tracing-subscriber = { version = "0.3", default-features = false, features = ["std", "registry", "fmt", "env-filter", "tracing-log", "json"] }
+tracing-subscriber = { version = "0.3", default-features = false, features = ["std", "registry", "fmt", "env-filter", "tracing-log"] }
 hmac = { version = "0.12", default-features = false }
 sha2 = { version = "0.10", default-features = false }
 hex = { version = "0.4", default-features = false, features = ["std"] }

bottlecap/Cargo.toml

@@ -235,7 +235,6 @@ tracing,https://github.com/tokio-rs/tracing,MIT,"Eliza Weisman <eliza@buoyant.io
 tracing-attributes,https://github.com/tokio-rs/tracing,MIT,"Tokio Contributors <team@tokio.rs>, Eliza Weisman <eliza@buoyant.io>, David Barsky <dbarsky@amazon.com>"
 tracing-core,https://github.com/tokio-rs/tracing,MIT,Tokio Contributors <team@tokio.rs>
 tracing-log,https://github.com/tokio-rs/tracing,MIT,Tokio Contributors <team@tokio.rs>
-tracing-serde,https://github.com/tokio-rs/tracing,MIT,Tokio Contributors <team@tokio.rs>
 tracing-subscriber,https://github.com/tokio-rs/tracing,MIT,"Eliza Weisman <eliza@buoyant.io>, David Barsky <me@davidbarsky.com>, Tokio Contributors <team@tokio.rs>"
 try-lock,https://github.com/seanmonstar/try-lock,MIT,Sean McArthur <sean@seanmonstar.com>
 twoway,https://github.com/bluss/twoway,MIT OR Apache-2.0,bluss

bottlecap/LICENSE-3rdparty.csv

@@ -6,6 +6,23 @@ use tracing_subscriber::fmt::{
 };
 use tracing_subscriber::registry::LookupSpan;
 
+/// Writes `s` to `w` with the 6 mandatory JSON string escape sequences applied.
+/// Handles: `"`, `\`, `\n`, `\r`, `\t`, and U+0000–U+001F control characters.
+fn write_json_escaped(w: &mut impl fmt::Write, s: &str) -> fmt::Result {
+    for c in s.chars() {
+        match c {
+            '"' => w.write_str("\\\"")?,
+            '\\' => w.write_str("\\\\")?,
+            '\n' => w.write_str("\\n")?,
+            '\r' => w.write_str("\\r")?,
+            '\t' => w.write_str("\\t")?,
+            c if (c as u32) < 0x20 => write!(w, "\\u{:04X}", c as u32)?,
+            c => w.write_char(c)?,
+        }
+    }
+    Ok(())
+}
+
 #[derive(Debug, Clone, Copy)]
 pub struct Formatter;
 
@@ -62,13 +79,9 @@ where
 
         let message = format!("DD_EXTENSION | {level} | {span_prefix}{}", visitor.0);
 
-        // Use serde_json for safe serialization (handles escaping automatically)
-        let output = serde_json::json!({
-            "level": level.to_string(),
-            "message": message,
-        });
-
-        writeln!(writer, "{output}")
+        write!(writer, "{{\"level\":\"{level}\",\"message\":\"")?;
+        write_json_escaped(&mut writer, &message)?;
+        writeln!(writer, "\"}}")
     }
 }
 
@@ -116,6 +129,55 @@ mod tests {
         }
     }
 
+    fn escaped(s: &str) -> String {
+        let mut out = String::new();
+        write_json_escaped(&mut out, s).expect("write_json_escaped failed");
+        out
+    }
+
+    #[test]
+    fn test_escape_plain_text_is_unchanged() {
+        assert_eq!(escaped("hello world"), "hello world");
+    }
+
+    #[test]
+    fn test_escape_double_quote() {
+        assert_eq!(escaped(r#"say "hi""#), r#"say \"hi\""#);
+    }
+
+    #[test]
+    fn test_escape_backslash() {
+        assert_eq!(escaped(r"C:\path"), r"C:\\path");
+    }
+
+    #[test]
+    fn test_escape_newline() {
+        assert_eq!(escaped("line1\nline2"), r"line1\nline2");
+    }
+
+    #[test]
+    fn test_escape_carriage_return() {
+        assert_eq!(escaped("a\rb"), r"a\rb");
+    }
+
+    #[test]
+    fn test_escape_tab() {
+        assert_eq!(escaped("a\tb"), r"a\tb");
+    }
+
+    #[test]
+    fn test_escape_control_characters() {
+        // U+0001 (SOH) and U+001F (US) must be \uXXXX-escaped
+        assert_eq!(escaped("\x01"), r"\u0001");
+        assert_eq!(escaped("\x1F"), r"\u001F");
+    }
+
+    #[test]
+    fn test_escape_unicode_above_control_range_passes_through() {
+        // U+0020 (space) and above are not escaped
+        assert_eq!(escaped("€ ñ 中"), "€ ñ 中");
+    }
+
     #[test]
     fn test_formatter_outputs_valid_json_with_level() {
         let output = capture_log(|| {