I got curious and asked chatgpt to calculate things for me. It suggests that if doozens of eggs cost you more than 5$ you can save money if you raise your own chicken.

In the first year, considering initial costs for setup and equipment, you may not save much—perhaps only $10 to $50. However, after the first year, the ongoing costs (mainly feed) could result in savings of $50 to $100 annually for each hen you keep.