It sounds like you are trying to use an Apple ID that is, or was, in some way, associated with another Apple ID of yours (e.g., as a reachable at email address or a notifications email address). Note that you can't use such an Apple ID for an uncertain period has passed --sometimes reputed to 30 day and sometimes 1 year. Also, I have seen that you never can use such an email address again (e.g., if the account was deleted). The last two times I saw someone claim a time period it was “up to 30 days.” I believe that up to 30 days is the current answer. But, you can contact Apple support using the options below to check out the currently quoted wait period. Also, if you need to use a new Apple ID now, then you can create a new one, although, unless you reset your device to factory fresh, it will not be the Apple ID shown on your device. See How to create a new Apple ID https://support.apple.com/en-us/HT204316.
Apple telephone support https://getsupport.apple.com/caller=kbase&PGF=PGF63005&category_id=SC0245&symptom_id=23362
Be patient. Sometimes Apple phone support is not available.
Apple ID Support https://support.apple.com/apple-id
Apple Support Twitter https://twitter.com/AppleSupport There may be an hour or so wait.
Apple ID account security for country-specific and region-specific help https://support.apple.com/en-us/HT204169
Get Support: We’re here to help https://getsupport.apple.com/. Go through the options to find the best support option for you.
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Note that you would have to recover an Apple ID your created before. You won't be able to just find it.
See If you forgot your Apple ID https://support.apple.com/en-us/HT201354
And, see If you forgot your Apple ID password https://support.apple.com/en-us/HT201487
You also can use Having trouble signing in/iForgot https://iforgot.apple.com/password/verify/appleid to try to recover it.
And you may need to see If you forgot the answers to your Apple ID security questions https://support.apple.com/en-us/HT201485
Before trying to answer your security questions is very important that you think about your questions, including your birth date, and their answers carefully and try to recall all details you can. If you don't answer them correctly enough, then you easily can lose control of your account.
Note that If you're using two-factor authentication and can’t recover your password, you usually will need to enter account recovery. See Recover your Apple ID when you can’t reset your password https://support.apple.com/en-us/HT204921
And, in general, if things go badly using the above links, you will need to try to recover your account if you want to use it again. Again, see Recover your Apple ID when you can’t reset your password https://support.apple.com/en-us/HT204921 Use this link to request account recovery to regain access to your account.