Do x check on various bootstrap tools in CI

Author: Zalathar

src/ci/docker/host-x86_64/pr-check-1/Dockerfile

@@ -40,7 +40,17 @@ COPY host-x86_64/pr-check-1/validate-toolstate.sh /scripts/
 # We disable optimized compiler built-ins because that requires a C toolchain for the target.
 # We also skip the x86_64-unknown-linux-gnu target as it is well-tested by other jobs.
 ENV SCRIPT \
-  python3 ../x.py check bootstrap && \
+  # Check some tools that aren't included in `x check` by default, to
+  # ensure that maintainers can still do check builds locally.
+  python3 ../x.py check \
+    bootstrap \
+    bump-stage0 \
+    compiletest \
+    coverage-dump \
+    linkchecker \
+    run-make-support \
+    rustdoc-gui-test \
+    && \
   /scripts/check-default-config-profiles.sh && \
   python3 ../x.py build src/tools/build-manifest && \
   python3 ../x.py check --target=i686-pc-windows-gnu --host=i686-pc-windows-gnu && \

src/ci/docker/host-x86_64/pr-check-2/Dockerfile

@@ -28,7 +28,6 @@ RUN sh /scripts/sccache.sh
 
 ENV SCRIPT \
         python3 ../x.py check && \
-        python3 ../x.py check src/tools/bump-stage0 && \
         python3 ../x.py clippy ci --stage 2 && \
         python3 ../x.py test --stage 1 core alloc std test proc_macro && \
         python3 ../x.py test --stage 1 src/tools/compiletest && \