[FEATURE] Consider testing with minimal version of deps.

**Is your feature request related to a problem? Please describe.**
rustup override set nightly && cargo update -Zminimal-versions && cargo check --all-targets fails.

**Describe the solution you'd like**
Add a test case to CI to test the above with Rust nightly release.

**Describe alternatives you've considered**
N/A

**Additional context**
N/A