Fix links

Startlight broken links detector is picking these up as broken even though they aren't

src/content/docs/index.mdx

@@ -10,11 +10,11 @@ hero:
     light: ../../assets/hero-light.png
   actions:
     - text: Hello World Tutorial
-      link: /tutorials/hello-world/
+      link: /tutorials/hello-world
       icon: right-arrow
       variant: primary
     - text: cargo add ratatui
-      link: /installation/
+      link: /installation
       icon: right-arrow
       variant: secondary
 banner:
@@ -61,8 +61,8 @@ import { Card, CardGrid } from "@astrojs/starlight/components";
       Get started with Ratatui by following the [installation guide]. If you're already set up, you
       can jump straight into the [Hello World tutorial].
 
-      [installation guide]: /installation/
-      [Hello World tutorial]: /tutorials/hello-world/
+      [installation guide]: installation/
+      [Hello World tutorial]: tutorials/hello-world/
     </p>
 
   </div>
@@ -72,9 +72,9 @@ import { Card, CardGrid } from "@astrojs/starlight/components";
       Check out the [community showcase] to see the [apps] and [widgets] that have been built using
       Ratatui.
 
-      [community showcase]: /showcase/
-      [apps]: /showcase/apps/
-      [widgets]: /showcase/third-party-widgets/
+      [community showcase]: showcase/
+      [apps]: showcase/apps/
+      [widgets]: showcase/third-party-widgets/
     </p>
 
   </div>