apps: keep processing connections after draining one #5223

Job	Run time
quiche_macos (macos-13)	4m 53s
quiche_macos (macos-latest)	1m 50s
android_ndk_lts (aarch64-linux-android)	1m 1s
docker	2m 49s
android_ndk_lts (armv7-linux-androideabi)	59s
android_ndk_lts (x86_64-linux-android)	55s
http3_test	1m 15s
android_ndk_lts (i686-linux-android)	1m 1s
nginx (1.16.1)	1m 13s
quiche	3m 30s
quiche (boringssl-boring-crate)	3m 23s
quiche_ios (x86_64-apple-ios)	1m 8s
quiche (openssl)	5m 48s
quiche_ios (aarch64-apple-ios)	1m 7s
quiche_multiarch (aarch64-unknown-linux-gnu)	2m 43s
quiche_windows (x86_64-pc-windows-msvc)	3m 55s
quiche_multiarch (armv7-unknown-linux-gnueabihf)	2m 55s
quiche_windows (i686-pc-windows-msvc)	4m 31s
quiche_multiarch (i686-unknown-linux-gnu)	1m 26s
quiche_windows (x86_64-pc-windows-gnu)	4m 41s
quiche_windows (i686-pc-windows-gnu)	5m 20s
	56m 23s

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