The problem comes down to pressure. If your supply building (building 1), which has capacity, is far enough away, the pressure at the end of that line may be significantly lower than the line in new building, (building 2), especially before the filters. If this is the case, the new line won't have enough force to open the check valve against the old line, and none of the new air will get into the new line.
As such, a careful consideration and monitoring of the pressures should be done before beginning. Monitor the use of building 2 during slow times, during peak usage, and then model if for the new higher usage. Ideally use 3-4 points, knowing the flow rates and pressures for each. Plot them on a curve in excel, using a quadratic regression, and figure out where the pressure will be at the new flow rate at the new use rate.
You should note that the compressor's pressure should drop on that curve. Then measure building 1's usage as well, ideally at similar flow rates and pressures if possible. Finally, use some basic fluid dynamics losses to find the pressure loss after routing from so far away.
If $Q_{Overcapacity}$, is the new flow rate, $P(Q_{Overcapacity})$ is the pressure at the new flow rate, and $P(0)$ is the pressure at no flow rate, the system will only provide new air if the following equation holds true:
$$P_1(0) > P_2(Q_{Overcapacity})$$
If this equation does hold true, then the actual flow rate of the new line can be determined by when the following equation is true:
$$P_1(Q_{Makeup}) = P_2(Q_{Remainder}) + P_{losses}(Q_{Makeup})$$
In this scenario, $Q_{Makeup}$ is the flow rate of the makeup line, $Q_{Remainder}$ is the remainder to meet the complete flow demand. If this pressure is to low for the equipment to operate, then the entire system needs to be scrapped and a higher pressure source is required anyways.