What are some innovative tire technologies or design approaches that could significantly reduce the frequency of flat tires for mountain bikers, and how might these advancements impact the overall design and functionality of modern mountain bikes? Could the integration of advanced materials or emerging technologies, such as self-healing tires or airless designs, provide a reliable solution to the age-old problem of punctures? How might these innovations influence the way mountain bike manufacturers approach tire design, wheel construction, and overall bike architecture? Are there any existing tire technologies or designs that have shown promise in reducing flat tires, but havent yet gained widespread adoption in the mountain biking community? What role might crowdsourced design or collaborative problem-solving play in driving innovation and finding a solution to the never-ending story of flat tires for mountain bikers?