Verified bounded TM2 builders

This facade exposes the typed builder language, its independent semantics, the concrete TM2 compiler, one-step agreement, exact bounded-run transport to TM2 output witnesses, and polynomial-time packaging. The verified scan/copy, symbol-local bounded-loop, and ordered-pair nested-loop macros are present with canonical exact builder and compiled runs. The nested loop computes row-major pair output while clearing every scratch stack. The clock layer repeatedly composes that quadratic machine to supply concrete clocks of any required fixed polynomial degree. The exact-clock layer adds a sentinel-and-tuple construction whose concrete TM2 output has length exactly p.eval input.length, including empty inputs and constant terms. The reversal layer provides an exact linear-time finalization pass for prepend-based streaming encoders, and the unary-index layer generates the complete wire-reference stream in quadratic time. The natural-number serializer connects those counters to the actual finite CircuitSym encoding alphabet. The input-gate streamer emits the exact serialized family .input 0, ..., .input (n - 1) with a concrete quadratic-time machine. The circuit-prefix layer parks and restores the clock while combining its exact arity header with that input-gate stream in one concrete quadratic-time run. The Boolean-pool suffix layer then appends the canonical false/true constant gates in linear time. The exactly-one layer and its affine wrapper stream contextual row constraints; the Boolean-equality layer reuses the same three-counter kernels to emit an arbitrary five-gate XNOR trace with an exact linear runtime and cleared scratch. The affine suffix-OR layer uses a separate nested control phase to generate the right-to-left active-cell mask with an exact contextual run and quadratic counter bound. The single-NOT layer closes the remaining primitive used at the head of every six-gate stack-cell block.