Actually, the concept "right" means that it can be waived: you may exercise the right, but do not have to. If it is an obligation, you can't "waive" the obligation; but the right to free speech does not mean that you must speak, and the right to bear arms does not mean that you must bear arms. You may decline to exercise, or waive, a right.
Sternlight 16 Ohio St. J. On Disp. Resol. 669 (2001) in "Mandatory Binding Arbitration and the Demise of the Seventh Amendment Right to a Jury Trial" partially addresses this (the focus though is on binding arbitration). One thing to note is that the Seventh Amendment does not appear to apply to issues in state court (it is a separate and fascinating question to wonder what parts of The Constitution are incorporated against states, and why). All is not lost for the constitutional question, we just need a different constitution.
By the agreement terms, "This Agreement is governed by the laws of the State of New York". Therefore, New York's Constitution (Article 1 Sect 2) is also applicable:
Trial by jury in all cases in which it has heretofore been guaranteed
by constitutional provision shall remain inviolate forever; but a jury
trial may be waived by the parties in all civil cases in the manner to
be prescribed by law.
Thus, the right may be waived. Waiver of a right to jury trial is not the same as waiver of the right to trial: what the agreement says is that litigants would have a civil bench trial, where the judge determines whether there was a breach.
In New York, NY CPLR § 4102 allows parties to waive civil trial by jury (and unlike California), such waiver terms have been upheld, but the courts have recognized that there is a problem, so it's not always obvious whether such waivers in contracts are legal.