Your suggestion is irrelevant
The Axis do not need Syria to achieve a coherent military purpose in the Med. They achieve all that can be hoped for militarily if they close the Suez and take Gibraltar. Politically, the offensive is either aimed at isolating the USSR (which will assure an Allied victory in WW2 as if Germany had invaded Russia) or allying with the USSR on the back of the partition of Turkey.
Again, you need to read the last few pages of the thread since clearly you have been ignoring them: Syria offers the Germans a route from which they might actually be able to close the Suez. So, yes, the Germans do need Syria to achieve a coherent military purpose in the Med. I also don't know how the Germans would think a successful Med option would isolate the Soviets, seeing as they would continue to maintain contact with the rest of the world via their Artic and Pacific ports.
And Germany aren't going to get a partitioned Turkey out of the Soviets.
Bolded is mine. "The required military...measures" means the invasion of Turkey by Germany and the USSR.
Not necessarily. They could also involve threat of force. I also observe that the Germans are being offered nothing, contrary to your claim.