[roll third_party/pigweed] pw_web: Implement split log views with resize

Changelist
- Implement split view functionality using Shoelace's Split Panel
component to enable side-by-side log viewing with resizable components
- Replace LocalStorageState with a more streamlined state structure and
service for persisting log viewer state across sessions
- Reduce excessive `columnData` updates to improve component performance
- Fix layout shift occurring whenever a new table is created
- Minor styling updates
- Upgrade `lit` and `vite` package versions

Original-Bug: 333891204
Original-Reviewed-on: https://pigweed-review.googlesource.com/c/pigweed/pigweed/+/209471
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https://pigweed.googlesource.com/pigweed/pigweed
third_party/pigweed Rolled-Commits: 37233cc5c5bdc8d..a90dc693295df7a
Roller-URL: https://ci.chromium.org/b/8747110231026717665
GitWatcher: ignore
CQ-Do-Not-Cancel-Tryjobs: true
Change-Id: I6c2002acec39c7610e464c0df42ffcb390280808
Reviewed-on: https://pigweed-review.googlesource.com/c/pigweed/quickstart/bazel/+/211365
Bot-Commit: Pigweed Roller <pigweed-roller@pigweed-service-accounts.iam.gserviceaccount.com>
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Commit-Queue: Pigweed Roller <pigweed-roller@pigweed-service-accounts.iam.gserviceaccount.com>
diff --git a/third_party/pigweed b/third_party/pigweed
index 37233cc..a90dc69 160000
--- a/third_party/pigweed
+++ b/third_party/pigweed
@@ -1 +1 @@
-Subproject commit 37233cc5c5bdc8d14cfd4857fe53d29a90a803aa
+Subproject commit a90dc693295df7a187fdbbfb0d73378baa0ee1c2