And the NDL you're given is based on your residual nitrogen load from your previous multi-level dive. Everyone should be taught the concept of nitrogen loading and residual nitrogen load. It's not rocket science and what the computer tells you isn't magic either.
This will not let you plan the second dive until just before you get in the water, especially with a short surface interval. Using tables, or these days planning software, allows the planning to happen long enough ahead to have a hope of changing the plan to give better diving.
The OP is doing the right thing. He is seeing what will happen ahead of time. This gives him options he will no longer have once the first dive is done. If the short second dive is unsatisfactory he could choose different site and so depths, he might be able to stay shallower on the first one, he could extend the surface interval, he could dive Nitrox, he could decide to do the stops on the second dive.
Playing 'what if' with a dive plan is quite valuable.
Once he gets in the water he might find that he gets more time or less time, that will depend on the tables, the computer and how square his profile is. Having planned the dive he can start to see how that pans out over a number of dives and so factor that in to similar dives in future.
Planning is not a hard skill, it can be learned while in a warm, dry place. It gives peace of mind on the dive and an opportunity to improve your enjoyment on the diving by making informed choices.