Update lychee version to match old project container image

What does this MR do and why?

As pointed out in gitlab-org/gitlab!180806 (comment 2348090599), the container image has an older Lychee version than gitlab-docs, so we should update it and not roll back to an older version.

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1. Configure a local GitLab Docs environment: https://gitlab.com/gitlab-org/technical-writing/docs-gitlab-com/-/blob/main/doc/setup.md.

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