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Many writing companies are looking for entry-level editors or proofreaders who can be trained into writers or senior editors. You also might find an admin job in a different industry (tech, software, science), but be able to offer proofing services within that role. That way, you can add that experience to your resume and go after higher-level editing and proofreading jobs in the future.
It is hard for me to answer you specifically without knowing your local market. I would encourage you to join meet-ups with people doing this work already or investigate writers' groups to get leads including local businesses who might be able to use your services. You may need to offer services very inexpensively while you are mentored. You can also look into agencies that provide proofreading/editing services and see if they would be willing to work with you, or give you leads. Good luck with it all!