[router] add kimi-k2 tool parser (#9702)

Co-authored-by: Chang Su <chang.s.su@oracle.com>

sgl-router/src/tool_parser/registry.rs

@@ -1,5 +1,6 @@
 use crate::tool_parser::parsers::{
-    DeepSeekParser, JsonParser, LlamaParser, MistralParser, PythonicParser, QwenParser, Step3Parser,
+    DeepSeekParser, JsonParser, KimiK2Parser, LlamaParser, MistralParser, PythonicParser,
+    QwenParser, Step3Parser,
 };
 use crate::tool_parser::traits::ToolParser;
 use std::collections::HashMap;
@@ -113,8 +114,12 @@ impl ParserRegistry {
 
         // DeepSeek V3 parser - Unicode tokens with JSON blocks
         self.register_parser("deepseek", Arc::new(DeepSeekParser::new()));
+
         // Step3 parser - StepTML XML format
         self.register_parser("step3", Arc::new(Step3Parser::new()));
+
+        // Kimi K2 parser - Token-based with indexed functions
+        self.register_parser("kimik2", Arc::new(KimiK2Parser::new()));
     }
 
     /// Register default model mappings