ci(move-to-emeritus): check out using otelbot-js token

[pichlermarc]

Which problem is this PR solving?

In order to push, we also need to checkout using the otelbot-js token.

Ref #5943
Ref https://github.com/open-telemetry/opentelemetry-js/actions/runs/18135442116

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 95.17%. Comparing base (09bf31e) to head (f375cf3).
⚠️ Report is 2 commits behind head on main.

Additional details and impacted files

@@ Coverage Diff @@ ## main #5973 +/- ## ======================================= Coverage 95.17% 95.17% ======================================= Files 316 316 Lines 8521 8521 Branches 1763 1763 ======================================= Hits 8110 8110 Misses 411 411 

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