KIMI mcp integration fix

Hi! 👋

Firstly, thanks for your work on this project! 🙂

Today I used patch-package to patch @modelcontextprotocol/sdk@1.29.0 for the project I'm working on.

Here is the diff that solved my problem:

diff --git a/node_modules/@modelcontextprotocol/sdk/dist/cjs/server/zod-json-schema-compat.js b/node_modules/@modelcontextprotocol/sdk/dist/cjs/server/zod-json-schema-compat.js
index bc067da..ad3237f 100644
--- a/node_modules/@modelcontextprotocol/sdk/dist/cjs/server/zod-json-schema-compat.js
+++ b/node_modules/@modelcontextprotocol/sdk/dist/cjs/server/zod-json-schema-compat.js
@@ -54,7 +54,9 @@ function toJsonSchemaCompat(schema, opts) {
     // v3 branch — use vendored converter
     return (0, zod_to_json_schema_1.zodToJsonSchema)(schema, {
         strictUnions: opts?.strictUnions ?? true,
-        pipeStrategy: opts?.pipeStrategy ?? 'input'
+        pipeStrategy: opts?.pipeStrategy ?? 'input',
+        definitionPath: "$defs",
+        $refStrategy: "none"
     });
 }
 function getMethodLiteral(schema) {
diff --git a/node_modules/@modelcontextprotocol/sdk/dist/esm/server/zod-json-schema-compat.js b/node_modules/@modelcontextprotocol/sdk/dist/esm/server/zod-json-schema-compat.js
index 62f7fd0..4965ae1 100644
--- a/node_modules/@modelcontextprotocol/sdk/dist/esm/server/zod-json-schema-compat.js
+++ b/node_modules/@modelcontextprotocol/sdk/dist/esm/server/zod-json-schema-compat.js
@@ -26,7 +26,9 @@ export function toJsonSchemaCompat(schema, opts) {
     // v3 branch — use vendored converter
     return zodToJsonSchema(schema, {
         strictUnions: opts?.strictUnions ?? true,
-        pipeStrategy: opts?.pipeStrategy ?? 'input'
+        pipeStrategy: opts?.pipeStrategy ?? 'input',
+        definitionPath: "$defs",
+        $refStrategy: "none"
     });
 }
 export function getMethodLiteral(schema) {

This issue body was partially generated by patch-package.

Start by locating the source corresponding to the mentioned dist/cjs/server/zod-json-schema-compat.js and dist/esm/server/zod-json-schema-compat.js files, then read how the SDK's Zod-to-JSON-Schema conversion is built and tested. Reproduce the KIMI integration problem and verify that the conversion uses the required $defs definition path and avoids unwanted references in both module outputs.