GH2965: Fix duplicate missing load warnings during bootstrap

[marko1olo]

Fixes #2965.

Summary

• Use the module-only processor set during bootstrap analysis instead of the full script processor set.
• Carry the analyzer mode through the internal analyzer context so missing optional #load warnings are suppressed only during module discovery.
• Keep the normal build analysis warning intact, so users still see one No scripts found... warning for a missing optional load.
• Preserve bootstrap discovery of #module directives inside existing loaded scripts.

Verification

• Red check before fix: Should_Not_Log_Missing_Load_Warning_In_Modules_Mode failed because module analysis logged No scripts found at /Working/optional.cake.
• dotnet test src\Cake.Core.Tests\Cake.Core.Tests.csproj --framework net10.0 --no-restore -- --filter-method "Cake.Core.Tests.Unit.Scripting.Analysis.ScriptAnalyzerTests+TheProcessMethod.Should_Not_Log_Missing_Load_Warning_In_Modules_Mode"
• dotnet test src\Cake.Core.Tests\Cake.Core.Tests.csproj --framework net10.0 --no-restore -- --filter-class "Cake.Core.Tests.Unit.Scripting.Analysis.ScriptAnalyzerTests*"
• dotnet test src\Cake.Core.Tests\Cake.Core.Tests.csproj --framework net10.0 --no-restore
• dotnet build src\Cake.Core\Cake.Core.csproj --no-restore
• dotnet build src\Cake\Cake.csproj -f net10.0
• End-to-end smoke with the built Cake.dll: temporary script containing #load "optional.cake" plus a Default task exited 0 and emitted No scripts found at ...optional.cake. exactly once.
• git diff --check and git diff --cached --check

Disclosure: this pull request was prepared with AI assistance and reviewed/tested locally before submission.

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