Don't bother showing the new asset browser at all in Hammer, have it opt in from View -> Toolbars so we can get some proper feedback on it
Asset browser dock widgets collapse properly on ToggleAssetBrowserDockWidget command
Add ToggleAssetBrowserDockWidget command to Hammer that does exactly that, default key bind Alt + A
Cleanup HammerAssetBrowser class location, move OnAssetHighlight / OnAssetSelected that inspect / open in editor to MainAssetBrowser
Setup default locations for Hammer dock widgets a bit better, open selection sets by default but tab them next to the Outliner since you're going to be using one or the other and not both.
Give asset browser dock widget a sane default size