chore: Always use VR for dry-run builds

[pan-kot]

This PR addresses an issue when the component package was built with Classic theme when in dry-run (a dependency of board-components, chart-components and other packages). This already led to hard to find errors where a particular integration test would pass in one repository but then fail in another one when in dry-run action.

I tested the change the following way:

• Created a PR in components pointing to this branch in actions;
• Add a code that threw an error when not in visual refresh;
• Confirmed that downstream packages (like board components) tests passed (those were failing when doing the same exercise but w/o changes to actions);
• Confirmed that components package own unit and integ tests passed (those do not use ALWAYS_VISUAL_REFRESH flag).

Rel: AWSUI-61173

Follow-up change: cloudscape-design/components#4250

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