No worries - we are all here to learn & talk Spurs. The first thing is really understanding that there are two types of FAs for SA: ones that impact cap space (Duncan & Manu) and ones that don't (Kawhi & Danny). The reason for that is their cap holds & nothing else. Tim & Manus cap holds are for more money than they are likely to be re-signed for. So that means they have to be signed 1st. KL & DG have cap holds that are less than they will be signed for most likely so luckily they don't impact signing FAs with cap space.
With that in mind, to answer your question about landing LA & signing Danny to 10M+, every scenario keeps that in play. The only things that will/can stop that is if DG just doesn't want to be back or Spurs aren't willing to have a payroll that high to keep them all. There's also an outside scenario that in the event Spurs need cap space & can't trade Tiago or Boris, letting Danny walk is the fastest way to get 7M in cap space. Good news is that if the Spurs & DG want, signing DG to whatever after signing LA is easy.
The Manu question is much harder. Bc he's scheduled to make less & needs to be signed first, he will take away from cap space immediately since he needs to be signed first. While his new salary in your scenario has Manu making only 3M, that just makes it harder to have the cap space required to sign LA.
Trading the 1st rounder would help but not by enough to matter. The difference would be the cost of the 26th pick (1.4M~) vs a roster charge (550K~).
If Spurs trade away Tisgo on draft day & Tim takes 6M & Manu takes 3M that would leave about 14M in cap space. Not nearly enough to sign LA & Asik.
The S&T scenario is different and prob most likely. It would be a combo of using existing cap space & trading Tiago. If Manu & Tim come back like in the previous example & Spurs were to S&T Tiago, they would still have the same functional cap
Space (14M). Difference is since it's a trade vs out right signing SA can take more than the sum of their cap space back in a S&T (so effectively more than 14M). They may need to trade someone like Mills too in the scenario to make numbers work, but that's the general premise.
Either way though, Spurs can resign KL & DG to whatever they want though after all those transactions.