Update rust_lint.sh to include newly added cargo doc check
#6070
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Which issue does this PR close?
Related to #6042. Follow on to #6044
Rationale for this change
I often use
rust_lint.shto ensure my PR will pass CI.What changes are included in this PR?
Add a
rust_docs.shscript so that./dev/rust_lint.shalso runs the newly added check in #6044Are these changes tested?
I tested them manually
Are there any user-facing changes?
No