Bug 1883876 - Update window list in Open Tabs in Fx View when moving a tab between windows r=fxview-reviewers,sclements,sfoster

Differential Revision: https://phabricator.services.mozilla.com/D203971

browser/components/firefoxview/opentabs.mjs

@@ -348,11 +348,6 @@ class OpenTabsInView extends ViewPage {
     switch (type) {
       case "TabRecencyChange":
       case "TabChange":
-        // if we're switching away from our tab, we can halt any updates immediately
-        if (!this.isSelectedBrowserTab) {
-          this.stop();
-          return;
-        }
         windowIds = detail.windowIds;
         this._updateWindowList();
         this.bookmarkList.setTrackedUrls(this.#getAllTabUrls());