Added login and authentication

src/routes/login/+page.svelte

@@ -0,0 +1,68 @@
+<script lang="ts">
+    import { goto } from "$app/navigation";
+    import { env } from "$env/dynamic/public";
+    import UserState from "$lib/User.svelte";
+    import axios from "axios";
+
+    let username = $state("");
+    let password = $state("");
+    let error = $state("");
+
+    async function login() {
+        axios
+            .post(
+                `http://${env.PUBLIC_JEOPARDY_SERVER}/auth/login`,
+                {
+                    username: username,
+                    password: password
+                },
+                { withCredentials: true }
+            )
+            .then((response) => {
+                if (response.status === 200) {
+                    UserState.username = response.data;
+                    goto("/");
+                }
+            })
+            .catch((e) => {
+                error = "Login fehlgeschlagen";
+            });
+    }
+</script>
+
+<div class="flex h-full w-full items-center justify-center">
+    <div class="borders flex-col items-center justify-center">
+        <div>
+            <label for="username" class="ms-4">Name</label>
+            <input
+                type="text"
+                name="username"
+                id="username"
+                class="borders ms-4 me-4 mt-2 mb-4"
+                bind:value={username}
+            />
+            <label for="password" class="ms-4">Passwort</label>
+            <input
+                type="password"
+                name="password"
+                id="password"
+                class="borders ms-4 me-4 mt-2 mb-4"
+                bind:value={password}
+            />
+        </div>
+        <button type="button" class="btn mb-2 w-fit ps-4 pe-4" onclick={login}>Login</button>
+        {#if error.length > 0}
+            <div class="text-red-700">{error}</div>
+        {/if}
+    </div>
+</div>
+
+<style>
+    .borders {
+        border: 1px solid black;
+        border-radius: 5px;
+        display: flex;
+        font-size: larger;
+        padding: 2px;
+    }
+</style>