You should treat this data in accordance with your personal data entry standards! What do they call for when faced with conflicting information? As you know, this is a common occurrence.
In case you haven't established such standards, here are some considerations. First, why are you entering data into TMG?
Is it to collect and display all available sources? If so you may want to enter all conflicting data in separate Tags, so it's readily visible in the Details View.
Is it to document your conclusions about the most likely correct information about your ancestors? If so, you may want to enter the data you consider most likely to be correct, and record, either in the Memo or in Citations, how you reached that conclusions when faced with conflicts.
Is it to create easy-to-read narrative about your ancestors that your relatives with limited interest in family history might be willing to read? If so, you may want to hide such conflicts in the Citation Detail of your Citations. Leave the citations with conflicting information active if you think it's merited, or leave them attached but excluded if not. You might discuss only the most significant conflicts in the Memo of the appropriate tags.
No doubt there are other reasons users record data, which would lead to other approaches.