Gives the cross-repo enterprise-e2e gate a real name: **Playwright E2E
Crosscheck**.
Branding only — no behaviour change. Renames the workflow, the **check
name** (what shows on the PR), every sticky-comment header, and the
hidden comment marker. Filenames unchanged. The check isn't required
yet, so nothing in branch protection references the old name.
Note: the marker change means the *next* run on a PR that already has an
old `ent-e2e-gate` sticky comment will post a fresh one (the old one is
orphaned) — only affects a couple of in-flight test PRs. Companion:
o2-enterprise `ci/crosscheck-rename`.
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Co-authored-by: Claude Opus 4.8 <noreply@anthropic.com>