A construction company has opted to invest in a shovel with an initial reliability of $0\mathrm{.}92,$ incurring an investment cost of $$1,000,000.$ Subsequently, the company contemplates enhancing the shovel's reliability to $0\mathrm{.}97$ by collaborating with the manufacturer to upgrade the engine and incorporate additional smart features. It is assumed that the incremental cost associated to this reliability increase amounts to $15\%$ of the original investment cost. Calculate the life cycle cost based on a user cost of $70\%$ less than the new investment cost?