Rustup should warn if libgcc is not installed on Alpine

Describe the problem you are trying to solve

In Linux distributions which depend on musl libc, cargo crashes if libgcc is not present.
This is the case in Alpine docker containers.

cargo
Error loading shared library libgcc_s.so.1: No such file or directory (needed by /root/.rustup/toolchains/stable-x86_64-unknown-linux-musl/bin/cargo)
Error relocating /root/.rustup/toolchains/stable-x86_64-unknown-linux-musl/bin/cargo: _Unwind_GetIPInfo: symbol not found
Error relocating /root/.rustup/toolchains/stable-x86_64-unknown-linux-musl/bin/cargo: _Unwind_GetDataRelBase: symbol not found
Error relocating /root/.rustup/toolchains/stable-x86_64-unknown-linux-musl/bin/cargo: _Unwind_GetRegionStart: symbol not found
Error relocating /root/.rustup/toolchains/stable-x86_64-unknown-linux-musl/bin/cargo: _Unwind_SetGR: symbol not found
Error relocating /root/.rustup/toolchains/stable-x86_64-unknown-linux-musl/bin/cargo: _Unwind_FindEnclosingFunction: symbol not found
Error relocating /root/.rustup/toolchains/stable-x86_64-unknown-linux-musl/bin/cargo: _Unwind_GetTextRelBase: symbol not found
Error relocating /root/.rustup/toolchains/stable-x86_64-unknown-linux-musl/bin/cargo: _Unwind_Resume: symbol not found
Error relocating /root/.rustup/toolchains/stable-x86_64-unknown-linux-musl/bin/cargo: _Unwind_DeleteException: symbol not found
Error relocating /root/.rustup/toolchains/stable-x86_64-unknown-linux-musl/bin/cargo: _Unwind_RaiseException: symbol not found
Error relocating /root/.rustup/toolchains/stable-x86_64-unknown-linux-musl/bin/cargo: _Unwind_GetIP: symbol not found
Error relocating /root/.rustup/toolchains/stable-x86_64-unknown-linux-musl/bin/cargo: _Unwind_Backtrace: symbol not found
Error relocating /root/.rustup/toolchains/stable-x86_64-unknown-linux-musl/bin/cargo: _Unwind_GetLanguageSpecificData: symbol not found
Error relocating /root/.rustup/toolchains/stable-x86_64-unknown-linux-musl/bin/cargo: _Unwind_SetIP: symbol not found

Unless you know what to install in order to resolve this issue, it is baffling.
This problem will mainly affect beginners who want to learn rust.

Describe the solution you'd like

Rustup should warn on musl libc distributions (or maybe in any distribution) if it can't find libgcc.

Notes

Start by reproducing the reported cargo failure in an Alpine container without libgcc, using the command and error output in the issue. Then inspect rustup's handling of musl-based toolchains and determine where a missing libgcc warning could occur. Done means users receive a clear warning before cargo fails in this environment.