Cherry-pick of #16394 to RC3.6.0_master

Purpose

When changing recent files cache, in case when max recent files has been reached, removing the last item from the collection would throw an error, if invalid paths exist.

Declarations

Check these if you believe they are true

• Is documented according to the standards
• The level of testing this PR includes is appropriate
• User facing strings, if any, are extracted into *.resx files
• Snapshot of UI changes, if any.
• Changes to the API follow Semantic Versioning and are documented in the API Changes document.
• This PR modifies some build requirements and the readme is updated
• This PR contains no files larger than 50 MB
• This PR introduces new feature code involve network connecting and is tested with no-network mode.

Release Notes

Adds logic to refresh the recent file list when removed items are not contiguous, ensuring the UI stays in sync with the underlying data.

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