feat(routing): swap illuminate/routing to ^13 (task 4.3) - #79

Node.js 20 is deprecated. The following actions target Node.js 20 but are being forced to run on Node.js 24: actions/cache@6f8efc29b200d32929f49075959781ed54ec270c, actions/checkout@a37ce9120846195fa4ece8f58b268e6043cb2f26. For more information see: https://github.blog/changelog/2025-09-19-deprecation-of-node-20-on-github-actions-runners/