When you headline with claims of lying and assert Mr. Carlson is guilty of numerous lies, you need to list more than one, especially when the one is more of a debate than a lie. Actually after reading your discussion of the one lie you specified, I find myself convinced that Carlson has the better of the argument: it is likely merit-based immigration will improve wages of American workers and reduce welfare costs. But even if you disagree, a prediction can seldom be called wrong or a lie. Only the march of subsequent events will show whether it was inaccurate. You kept accusing him of lying, but you did not list any actual provably inaccurate and materially false statements he made.
The other large definitional point you miss is that a lie is not merely an incorrect statement: it is a statement made by someone who knows it to be false. Tucker Carlson has marshalled a set of facts each of which he sincerely believes is true. He may be proved wrong on particular points, but that doesn’t mean he is lying.
He emerges unscathed from your misfired shots with his reputation for integrity, honesty, and accuracy intact if not enhanced.