[Bug] [BuildCheck]: rebuild with the build-in analyzers hangs

[AR-May]

Issue Description

Rebuild of OC solution with build-in analyzers hangs during clean-up.

Steps to Reproduce

1. Build the latest MSBuild main with release configuration .\build.cmd /p:CreateBootstrap=true -c Release
2. Go to OC solution and rebuild with analyzers with the bootstrap version:
   ...\artifacts\bin\bootstrap\net472\MSBuild\Current\Bin\amd64\MSBuild.exe /m /t:rebuild /analyze
3. kill MSBuild processes pskill msbuild; pskill vbcscompiler; pskill dotnet;
4. rebuild with analyzers with the bootstrap version:
   ...\artifacts\bin\bootstrap\net472\MSBuild\Current\Bin\amd64\MSBuild.exe /m /t:rebuild /analyze

Expected Behavior

Solution builds.

Actual Behavior

Rebuild hangs on CoreClean task execution.

Analysis

Hang starts from commit b100f12

[AR-May]

Found the bug with path in SharedOutputPathAnalyzer, fixing which the hang is fixed too: PR #10472. However, this bug should not be a reason for a hang, just a reason for some extra warnings. So, we need to figure out how exactly the hang is caused and fix it as well.

[AR-May]

Decided to limit the number of messages that could be logged per check, because a huge number of messages can cause this hang.