fix(game): repair played-row dropdown styling and refresh (#70)

The played-row "Played N times" dropdown regressed when it was migrated
from Alpine to a custom element (commit 1258c52): the hover highlight,
the row-filling click target and a consistent pointer cursor were lost
because the interactive <a>/<button> shrank to its text while the <li>
rows stopped carrying hover/click behaviour. Clicking the row's padding
hit the handler-less <li> and was silently swallowed.

Make each menu item the interactive element itself (block w-full + own
padding + hover highlight + pointer cursor), mirroring the status
selector's _SELECTOR_OPTION_CLASS, so the control fills the whole row.

Also refresh the Play Events section in place: the play-event-row now
dispatches a "play-added" event after recording a play, and
#playevents-container re-fetches itself on it (mirroring the history
section's status-changed refresh), so the table and count badge update
without a full reload.

Add e2e regression tests covering hover highlight, full-row pointer
cursor, the row-wide +1 click target, and the in-place table refresh.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

ts/elements/play-event-row.ts

@@ -31,6 +31,11 @@ class PlayEventRowElement extends HTMLElement {
           headers: { "Content-Type": "application/json", "X-CSRFToken": props.csrf },
           body: JSON.stringify({ game_id: props.gameId }),
         })
+        .then(() => {
+          // Refresh the Play Events section (table + count badge) without a
+          // full reload; #playevents-container listens for this on body.
+          document.body.dispatchEvent(new CustomEvent("play-added"));
+        })
         .catch(() => {
           if (count) count.textContent = String(Number(count.textContent) - 1);
           console.error("Failed to record play");