deps(browse): bump playwright + playwright-core to 1.62.1 (P0 #2554 vehicle)

Split from dependabot #2582 per plan OV3: this commit bumps ONLY
playwright (^1.58.2 -> ^1.62.1, lock resolves playwright@1.62.1 +
playwright-core@1.62.1 exactly). puppeteer-core, @huggingface/transformers,
marked, and socks are deliberately NOT bumped here — they land separately
(73b) gated on the ONNX sidecar smoke.

Why: bun.lock pinned playwright(-core)@1.58.2, whose Chromium build
macOS XProtect now kills on launch — browse is dead on macOS (#2554).
1.62.1 ships Chromium 151.0.7922.34 (headless shell v1234), which
launches clean.

Verification: bunx playwright install chromium (Chrome Headless Shell
151.0.7922.34 downloaded), then the full browse suite from browse/:
2016 pass / 32 skip / 2 fail across 129 files (133.9s). Both fails are
playwright-independent: data-platform.test.ts "rejects paths in cwd"
expects <cwd>/package.json to exist (browse/ has none; passes from repo
root, the shard runner's cwd — 15/15), and stealth-webdriver.test.ts
passes standalone (15/15) — a 5s-timeout flake under full-suite parallel
load.

Fixes the vehicle half of #2554 (self-heal lands next commit).

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

package.json

@@ -56,7 +56,7 @@
     "diff": "^9.0.0",
     "html-to-docx": "1.8.0",
     "marked": "^18.0.2",
-    "playwright": "^1.58.2",
+    "playwright": "^1.62.1",
     "puppeteer-core": "^24.40.0",
     "socks": "^2.8.8"
   },