Stuck on Atlantic Battle

I had 5-5-5-2-5 tech lvls by this time.

The main goal is to use anti-aircraft Special Forces to reduce the presumed dmg dealt by heavy air support and to detach a small force (about 2 inf units, one arty / heavy arty and an armoured car) to assist in the march on Dublin while your main force storms Cork.
Your subs will need to catch up to Halsey and sink him at the same time.
Nimitz must be dealt with by land attacks because the American ships can easily blockade the coast on the western side of the map.

Initially, deploy Guderian on a Panther 2X tank, one of the 3X inf should have Transport (2nd best inf gen) and the 3X inf may have the 88mm Flak (best inf gen), an Elefant and Leeb on the heavy arty, Rommel on the heavy tank and your best admiral on the starting battleship.
For Reinforcements, I recommend getting: Discounted Torpedo Bomber, discounted 3X inf, discounted 2X arty, discounted 2x heavy tank and a choice of (A) 1 sub and one Fighter, (B) two Fighters or (C) one Strategic Bomber.

Land as far towards the port of the SE city as possible. This minimises the likelihood of Halsey's bombing, the nearby heavy arty and the coastal arty near Cork from heavily damaging your troops.

Then, split up your troops as recommended above. Remember to heal or stack your troops as needed! The open plains have multiple small enemy parties and a makeshift line.
The other troops attacking the British city on the way to Cork will need to watch out for enemy reinforcements, especially armour.

Resupply your inf in Cork and swiftly capture the nearby factory. Watch out for naval bombardment!

Combine all German troops to assault the city close to Galway. You MUST hold the city centre to heal or stack inf and the airport to attack Galway.

Send fully stacked paratroopers NW of Galway. Use them to disable the AA inf. Your next best air gen must pummel the city centre to allow your paratroopers to rush in and take the city.
Watch out of minor enemy outposts! The American arty and other miscellaneous troops can swarm the city if you're not careful.

Nobunaga Oda, here army generals

Why can’t I paratroop Galway?

Hello, even after that time, I can't beat this mission. Even when I manage to land near cork or unnamed city, my forces get decimated by airports in no time. Either heavy tanks or Pantheras are dead by turn 3. I can manage to take cork, kind-sort-of-ish steal southern city
and help my allies with Dublin. But then Dublin allies get decimated in suicide Mission "rush airport fast, but one by one". So by the time Gallway path is clear:
-Neither I nor my allies have enough soldiers to beat Patton (rest of defenders not included)
-Nimitz is well and healthy past turn 20 (allied subs block the naval way, I have no army to advance north and even if I do, they get killed on the way to the airport (or end up heavily injured and too weak to fight)

AI spamming airplanes with endless money is goddamn painful.

Any tips are appreciated. Thanks!