If you weigh only 150lbs, a 25lb bike will only add 16% to your total weight to carry up those 11 levels. Many stock SSFG bikes will weigh that. If you splurge and get a complete weight weenie you could get it down to maybe 15lbs. This will be a 10% increase in total weight.
So, how much do you want to spend for that 6% less? I get that handling weight is different than carrying it on you body but come on, can it make that much of a difference?
A dose of htfu might be more valuable... train those legs a bit more, right?