[BUG] when claude code run in msys2 mingw64 shell env,it can't find bin in $PATH

Environment

• Platform (select one):
• [*] Anthropic API
• [ ] AWS Bedrock
• [ ] Google Vertex AI
• [ ] Other: <!-- specify -->
• Claude CLI version: 1.0.63 (Claude Code)
• Operating System: windows 11
• Terminal: windows terminal(C:/msys64/msys2_shell.cmd -defterm -here -no-start -mingw64 -use-full-path)

Bug Description

in the msys2 mingw64 env(C:/msys64/msys2_shell.cmd -defterm -here -no-start -mingw64 -use-full-path)
if I install make, it can't find it

Steps to Reproduce

1. install msys2 mingw64 env, install make in it
2. C:/msys64/msys2_shell.cmd -defterm -here -no-start -mingw64 -use-full-path
3. start claude code and do some task, if it run such as make command, it will not find it.

Expected Behavior

find the binary in $PATH

Actual Behavior

not find binary in $PATH

Additional Context