feat(desktop): home app (system-only launch cap, LAUNCH_BADGE: apps+launch only), pm starts it with session (relaunch <=5); display keys F1/Alt+Tab next, F2 home, F4 close app (ROLE from launcher, terminal exempt), close returns to previous window; closed window -> app exits; shell 'name &'; launch by id; pm stack 8, storage 16 clients

Makefile

@@ -54,7 +54,7 @@ kani: kani-types kani-domain kani-kernel
 PROGRAMS = -p init -p echo -p sleep -p snake \
 	-p display-qemu -p input-qemu -p storage-qemu \
 	-p log-server -p permission-manager -p session-server -p smptest -p spawntest -p hello \
-	-p terminal-server -p shell -p cat -p ls -p counter -p gatekeeper -p flaky -p tally -p settings
+	-p terminal-server -p shell -p cat -p ls -p counter -p gatekeeper -p flaky -p tally -p settings -p home
 
 # Programs first: the kernel image packs init and storage (see the
 # adapter's build.rs).