Re: is this okay to do?
If you're using Gmail or another popular email client, all emails are re-routed before being delivered to you. So eBay doesn't get your IP from you viewing/responding to emails. For a Gmail email account they would see the IP of a Google proxy, if anything at all. Some email clients just leave the "sender IP" field in the packet blank on purpose.
To answer your question, they won't be tracking you by your email account if you're able to successfully change the email on your eBay.
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