Finalize TS5.3 and TypeDoc 0.25.x support. (backport #6716) [release/4.6.x]

[mergify]

• Replace BWC with iTwinUI
• Fix a couple of link errors.
• Run docs json extraction on darwin/mac os boxes until TypeDoc discrepancy is resolved: TypeDoc produces different json output for at least core-common when built on different platforms. I have not yet come up with a minimal reproduction, but it surrounds the use of re-exporting types from another package: Is the re-exported type a reference or a declaration? On Windows, TypeDoc produces a reference, but on Mac it produces a declaration.

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This is an automatic backport of pull request #6716 done by [Mergify](https://mergify.com).

[mergify]

Cherry-pick of 1c2c71e has failed:

On branch mergify/bp/release/4.6.x/pr-6716
Your branch is up to date with 'origin/release/4.6.x'.

You are currently cherry-picking commit 1c2c71ee5c.
  (fix conflicts and run "git cherry-pick --continue")
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  (use "git cherry-pick --abort" to cancel the cherry-pick operation)

Changes to be committed:
	modified:   common/api/core-backend.api.md
	new file:   common/changes/@itwin/core-backend/docs-bms5.3.0-support_2024-05-13-14-22.json
	new file:   common/changes/@itwin/core-common/docs-bms5.3.0-support_2024-05-13-14-22.json
	modified:   common/config/azure-pipelines/jobs/docs-build.yaml
	modified:   core/backend/src/BackendLoggerCategory.ts
	modified:   docs/learning/ECSQLTutorial/ChangeSummaryQueries.md
	modified:   docs/learning/tutorials/index.md
	modified:   docs/learning/tutorials/itwin-snapshot-app.md
	modified:   docs/presentation/index.md
	modified:   docs/reference/leftNav.md

Unmerged paths:
  (use "git add <file>..." to mark resolution)
	both modified:   core/common/src/annotation/TextAnnotation.ts

To fix up this pull request, you can check it out locally. See documentation: https://docs.github.com/en/pull-requests/collaborating-with-pull-requests/reviewing-changes-in-pull-requests/checking-out-pull-requests-locally