I believe what others here say, but the one post in this topic contradicts the other a tiny bit. The poster who stated one can have unlimited accounts with Gmail without mentioning Phone numbers, also has not posted again ever since.
The support page of google.com refered to states they may warn that you already exceeded the maximum number of accounts allowed for that Phone number but that article doesn't exactly that what is that maximum number (not to mention it doesn't state anything about users who have an account to which no Phone number is connected ; I do often, after signing in, get a message whether I want to enter a Phone number or alternative email address for access recovery but I skip that screen because I manage to remember my login credentials well enough)
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