10/3-4
As the supply depots are repositioned, the entire army is out of supply. I would have pulled back a bit, but so far the AI has not attempted a counter-attack.
The AI has done a good job of attacking German strongpoints from the air, especially southeast of London, where the 10th Army has established a bridgehead across the Thames at Dartford.
The next army supply depot unit will arrive on the 12th, and that should extend the range of supply out to 12 hexes from the beaches, for most of the clear terrain near London. Until then, both 9th and 10th Armies will hold the current line, giving the Luftwaffe time to soften up the enemy positions.
Air superiority was at 4-1 over the last couple of days, but the Luftwaffe took heavy losses. The superiority is still good, at 3.4-1.
One rail repair unit has now crossed to Brighton.
[later: did some testing, and it turns out what I thought was a rail repair unit is not. It's just and engineer unit. There appear to be no rail repair units in the scenario]