fix(ci): run changesets publish command

[riceharvest]

Summary

• Fixes the Release workflow so changesets/action runs the root publish script (pnpm run publish) instead of the versioning-only pnpm release script.
• Adds a release-workflow assertion to the existing compatibility precheck so future release PR merges cannot silently skip changeset publish.

Evidence

• PR Version Packages #296 merged and the Release workflow completed, but the Publish job log only rebuilt packages and did not invoke changeset publish.
• npm view @opensourceframework/next-mdx-toc versions --json still returned only 0.1.3 after the 0.1.8 release workflow, confirming publication did not happen.

Tests

• node scripts/check-compat-matrix.mjs
• corepack pnpm@9.6.0 --filter @opensourceframework/next-mdx-toc test
• corepack pnpm@9.6.0 --filter @opensourceframework/next-mdx-toc build
• corepack pnpm@9.6.0 lint
• corepack pnpm@9.6.0 test

Review

• git diff --check
• staged secret scan: ok

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