The carrier in the med is an interesting idea as it allows Germany to hold Africa for a lot longer. I wonder if this is worth it in the long run though because the men you send to Africa aren’t threatening West Russia or Caucus… This is always the problem I’ve seen with navy buys in the med. That and the fact you have to keep 2 fighters on your carrier, which means those fighters aren’t defending mainland Europe.
I’ve given this a few runs since posting. The baltic is a lost cause, speaking naval. 1st round German Purchased Carrier, Transport, 2 Art, 4 Inf. (Ive also dabbled in grabbing another sub instead of the trans just to help lock down the Atlantic). Take Gibraltar, and prep for taking Egypt round 2 (as long as The US Trans/Destroyer were taken out G1). G2 attack egypt. G3 Split surviving German forces between blitzing through Africa or Middle East and use your transports to take additional infantry/Art to black sea. Add a bombardment from your battleship and your 2 planes to attacking the Caucasus. As long as you can, use that Med Navy to take Caucasus. Africa, will most likely be taken back, but at that point, it shouldn’t matter. You are using your extra IPC to INF stack the Western Front/ Capital and by turn 5 - 7 (with a little pressure from Japan) Russia falls!
In regards to your planes, you still have a bomber and 3 fighters to help hold off the Atlantic with your subs. If it’s not enough…buy 1 a turn after you take most of Africa.