[Fix] Provider profile actions are cut off in settings

[zoomote]

​Created by Roomote. Follow up by mentioning @roomote, in the web UI, or in Discord.

What changed

• Allow the Configuration Profile selector to shrink within its flex row so the add, rename, and delete actions remain visible.
• Add Playwright gallery coverage that checks overflow, action containment, and focus at 320px and 640px editor widths.

Why this change was made

The selector retained full-width sizing while the shared button component prevented shrinking, pushing the profile actions beyond the settings viewport. The regression appeared after shrink-0 was added to shared buttons in d7795ca3f.

Impact

Users can access all provider profile actions at narrow and desktop editor widths without horizontal overflow. The fix is scoped to this selector and does not change shared button sizing or provider behavior.

Screenshots

320px editor width

640px editor width

The screenshots use the checked-in component gallery with two fixture profiles and no-op callbacks; they prove rendered layout and containment, not VS Code host integration or persistence.

Closes #1476

[github-actions]

Review status

This PR was opened by an automated account. A human maintainer must verify the change intent, provenance, and validation before merging.

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[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.

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