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I can almost guarantee that the signal path original poster's patio antenna mounting location is completely blocked by concrete and steel buildings, perhaps his/her own dwelling, and that the odds of success are minimal, at best, unless persistence and luck comes into play.

Sorry to have to be so pessimistic, but I've seen similar situations so many times that I don't see many options.

Think if the situation this way: If you were trying to observe a sunrise or sunset (TV signals come from points on the horizon) and your only possible location is in a fully enclosed courtyard, how much of the sunrise/sunset would be apparent? Sure, there will be some light that comes in from overhead from atmospheric scattering and diffusion that makes it down into the courtyard, but the effect is completely lost. TV signals behave pretty much the same. If they cannot make the trip to the location where the antenna is at, then reception will be ineffective. An amplifier will only help preserve whatever signal comes off the antenna, it won't re-create signal that has been lost.

Please note that all of the listed channels are either UHF-only or have both UHF and VHF signals available. KGO operates a UHF 35 translator from Fremont that provides some measure of fill-in coverage to the South Bay area since their VHF signal on 7 is pretty useless to all but roof-mounted VHF antennas in that area. The original poster would have to dig into the TV set's diagnostics menu to see if it will tell which KGO signal has been tuned in. Same for NBC as it's available both on VHF (12) and on KSTS (UHF 49).

If a permissible mounting location can be found that avoids whatever obstacle is in the way in the direction of the desired signals, that would be the location where the antenna should be placed. Otherwise, it's a wild hunt for what whatever signal can be found.

Good luck!