Using reusable workflow for check deployment

[yathomasi]

• [x] This will need https://github.com/iterative/gatsby-theme-iterative/pull/151 to be merged
• [x] change current reference to main branch

Related:

• https://github.com/iterative/iterative.ai/pull/718
• https://github.com/iterative/dvc.org/pull/4169
• https://github.com/iterative/mlem.ai/pull/260
• https://github.com/iterative/cml.dev/pull/422

[github-actions[bot]]

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