chore(spec): regenerate the rest_api liveness shard over the merged tree

Main moved rest_api rows to live while editing the retired single-file
table; the merge kept the deletion and this regeneration carries the move
into state-counts/rest_api.md. Sum of the shards equals main's last
committed total: 949 live, 5 experimental, 1 live-elsewhere, 139 dead,
9 planned, 1103 classified.

Claude-Session: https://claude.ai/code/session_014EJ1ED8X4MMrT18BhVx4tx
Co-authored-by: Claude <noreply@anthropic.com>

Author: claude

packages/spec/liveness/state-counts/rest_api.md

@@ -12,4 +12,4 @@ committed anywhere: `check:liveness` sums the shards when it reads them.
 
 | Type | live | exp | elsewhere | dead | planned | classified |
 |---|---|---|---|---|---|---|
-| `rest_api` | 12 | 0 | 0 | 12 | 0 | 24 |
+| `rest_api` | 20 | 0 | 0 | 4 | 0 | 24 |