A shady asbestos inspector who served prison time for conning a famed jazz great out of $500,000 allegedly never even showed up to the site of a highly contested Brooklyn homeless shelter being pushed by the Mamdani administration before greenlighting the project for construction. Noel Muir claimed he inspected the site of the planned 150-bed men’s shelter in Bensonhurst in April 2025, before proclaiming it asbestos-free, city records show. The approval briefly paved the way for construction to begin on the shelter, which has been marred by delays for more than two-and-a-half years and sparked near-daily protests — including one resulting in a local councilwoman being arrested for allegedly biting a cop. But 16 residents and business leaders insist in court papers that Muir lied about inspecting the site, which is set to open in late 2027.…