Don't publish non-editor browsable logging APIs

[gewarren]

Fixes dotnet/extensions#4628

[dotnet-issue-labeler]

I couldn't figure out the best area label to add to this PR. If you have write-permissions please help me learn by adding exactly one area label.

[RussKie]

Thank you.
Could you please add few more as listed in dotnet/extensions#4628 (comment)?

[learn-build-service-prod]

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Issue Details

---

Fixes dotnet/extensions#4628

Author:	gewarren
Assignees:	gewarren
Labels:	area-Extensions-Logging, needs-area-label
Milestone:	-

[BillWagner]

This LGTM. Let's

[KalleOlaviNiemitalo]

@gewarren, is this change live yet? The doc page https://learn.microsoft.com/en-us/dotnet/api/microsoft.extensions.logging.loggermessagestate.classifiedtag?view=dotnet-plat-ext-8.0 is still there and it's listed in the ToC too.