v3: consistent tabs url across app, maxy small fixes

src/App.tsx

@@ -1,5 +1,5 @@
 import { lazy, Suspense } from "react";
-import { BrowserRouter, Route, Routes } from "react-router";
+import { BrowserRouter, Navigate, Route, Routes } from "react-router";
 
 import { RestrictedGuest } from "./pages/RestrictedGuest.tsx";
 import { RestrictedLoggedIn } from "./pages/RestrictedLoggedIn.tsx";
@@ -70,7 +70,8 @@ function AppRoutes() {
   return (
     <Suspense>
       <Routes>
-        <Route path="/" element={<Index />} />
+        <Route path="/" element={<Navigate to="/~/hot" replace />} />
+        <Route path="/~/:feedTab" element={<Index />} />
         <Route path="/dumps/:selectedDump" element={<Dump />} />
         <Route
           path="/dumps/:selectedDump/edit"
@@ -97,6 +98,10 @@ function AppRoutes() {
           }
         />
         <Route path="/users/:username" element={<UserPublicProfile />} />
+        <Route
+          path="/users/:username/~/:profileTab"
+          element={<UserPublicProfile />}
+        />
         <Route path="/users/:username/dumps" element={<UserDumps />} />
         <Route path="/users/:username/upvoted" element={<UserUpvoted />} />
         <Route
@@ -105,6 +110,7 @@ function AppRoutes() {
         />
         <Route path="/playlists/:playlistId" element={<PlaylistDetail />} />
         <Route path="/search" element={<Search />} />
+        <Route path="/search/~/:searchTab" element={<Search />} />
         <Route path="/reset-password" element={<ResetPassword />} />
         <Route
           path="/notifications"