It most certainly does.
It gives Congress authority to certify the election. That *IMPLICITY* includes eligibility. Certification means that all parts of the electoral process are acceptable.
You’re confused because it’s a negative affirmation process. Make sure you know what that means before responding. Your arguments have been really sloppy and weak.
Did you read 3 USC Sec 15, where it says that Congress cannot reject any electoral votes that are properly certified by a State?
How the heck can Congress determine Presidential eligibility in a process where they simply HAVE TO ACCEPT whatever votes are properly certified BY THE STATES?
You haven’t refuted them, only disputed them.