bump http-client-python 0.29.1 for typespec-python (#4418)

@timotheeguerin I notice you released `typespec-python@0.62.0` for
latest tsp version but its dependency `http-client-python@0.28.3`
depends on older tsp version. I worry about the mismatch so create this
PR to bump a new version with `http-client-python@0.29.1` which also
depends on latest tsp version.

CC @iscai-msft

Author: msyyc

.chronus/changes/bump-http-client-python-catalog-2026-05-12-12-44-33.md

@@ -1,5 +1,11 @@
 # Release
 
+## 0.62.1
+
+### Bump dependencies
+
+- [#4418](https://github.com/Azure/typespec-azure/pull/4418) Bump @typespec/http-client-python to 0.29.1
+
 ## 0.62.0
 
 ### Features

packages/typespec-python/CHANGELOG.md

@@ -1,6 +1,6 @@
 {
   "name": "@azure-tools/typespec-python",
-  "version": "0.62.0",
+  "version": "0.62.1",
   "author": "Microsoft Corporation",
   "description": "TypeSpec emitter for Python SDKs",
   "homepage": "https://azure.github.io/typespec-azure",

packages/typespec-python/package.json

@@ -86,7 +86,7 @@ catalog:
   "@typescript-eslint/rule-tester": ^8.58.1
   "@typescript-eslint/types": ^8.58.1
   "@typescript-eslint/utils": ^8.58.1
-  "@typespec/http-client-python": ^0.29.0
+  "@typespec/http-client-python": ^0.29.1
   "@typespec/ts-http-runtime": "0.3.4"
   "@vitejs/plugin-react": ^6.0.1
   "@vitest/coverage-v8": ^4.1.3