Tab Search: Prevent Tab Search creation when WebUITabStrip present

Bug: 1099917
Change-Id: If1ccecfb3f379133b24ce68d916c5cedb90fc521
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2421840Reviewed-by: Collin Baker <collinbaker@chromium.org>
Commit-Queue: Thomas Lukaszewicz <tluk@chromium.org>
Cr-Commit-Position: refs/heads/master@{#809350}

chrome/browser/ui/views/frame/browser_view.cc

@@ -2635,6 +2635,12 @@ const views::Widget* BrowserView::GetWidget() const {
 }
 
 void BrowserView::CreateTabSearchBubble() {
+  // Do not spawn the bubble if using the WebUITabStrip.
+#if BUILDFLAG(ENABLE_WEBUI_TAB_STRIP)
+  if (WebUITabStripContainerView::UseTouchableTabStrip(browser_.get()))
+    return;
+#endif  // BUILDFLAG(ENABLE_WEBUI_TAB_STRIP)
+
   // If kTabSearchFixedEntrypoint is enabled then the tab search button is
   // defined in the tab strip region view.
   // TODO(tluk): Consolidate these once Tab Scrolling successfully moves the