Following a structural breakthrough in proving the eternal persistence of twin primes, this paper presents a unified, geometric proof of Harvey Dubner's variation of Goldbach's Conjecture. This variation asserts that every even integer greater than 4,208 can be expressed as the sum of two twin primes.By mapping even integers to a symmetrical, triangular mirror grid, we show that the addition of numbers converts into a physical intersection along a linear center axis. We demonstrate that numbers divisible by 6 act as a structural shield, yielding a regular 2x combination advantage over non-divisible numbers.Using an inductive contradiction modeled after Euclid, and backed by the infinite pool of twin primes established in my prior work, we prove that the creation velocity of row combinations outpaces the logarithmic thinning of the primes. This ensures that the possible combination count never drops back down to zero past the final historical exception of 4,208, cementing the proof.