[ci] Add CI spelling check and fix spelling errors (#8882)

reviewdog/action-misspell is used on frc-docs. It has a dictionary of
commonly misspelled words, so it has less false positives then other
tools.

.github/workflows/lint-format.yml

@@ -123,3 +123,27 @@ jobs:
           echo '' >> $GITHUB_STEP_SUMMARY
           echo '```' >> $GITHUB_STEP_SUMMARY
         if: ${{ failure() }}
+
+  check-spelling:
+    runs-on: ubuntu-24.04
+    steps:
+      - uses: actions/checkout@v6
+      - name: misspell
+        uses: reviewdog/action-misspell@v1
+        with:
+          reporter: "github-check"
+          fail_level: "error"
+          exclude: |
+            **/*.svg
+            **/thirdparty/**
+            **/upstream_utils/**
+            **/generated/**
+            ./wpigui/src/main/native/cpp/portable-file-dialogs.*
+            ./wpimath/src/main/native/include/wpi/units/base.hpp
+            ./wpinet/src/main/native/linux/AvahiClient.*
+            ./wpinet/src/main/native/cpp/http_parser.cpp
+            ./wpinet/src/main/native/include/wpi/net/http_parser.hpp
+            ./wpiutil/src/main/native/include/wpi/util/FastQueue.hpp
+            ./wpiutil/src/test/native/cpp/json/**
+            ./wpiutil/src/test/native/cpp/llvm/**
+            ./wpiutil/src/test/native/cpp/span/**