You could use Base64:
string base64Guid = Convert.ToBase64String(Guid.NewGuid().ToByteArray());
That generates a string like E1HKfn68Pkms5zsZsvKONw==
. Since a GUID is always 128 bits, you can omit the ==
that you know will always be present at the end and that will give you a 22 character string. This isn't as short as YouTube though.
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