Migrate annotation-experimental to aar_import and remove old lint target

Fixes failures in `material3` and `tiles` by opting in.

Fixes failures in `media3` and `protolayout` by disabling the check. This is not ideal, since it does not enable cross-language checks, but it is no worse than it was before.

Adds explicit `kotlin-stdlib` dependency where it was previously implicitly included by a poorly-configured `annotation-experimental` target.

Removes explicit `proguard.txt` reference from Car build, since it is already included in the AAR.

PUBLIC: Handle calls to @RequiresOptIn-annotated APIs
PiperOrigin-RevId: 584657528

Author: Material Design Team

lib/java/com/google/android/material/badge/BadgeDrawable.java

@@ -41,6 +41,7 @@
 import androidx.annotation.IntDef;
 import androidx.annotation.NonNull;
 import androidx.annotation.Nullable;
+import androidx.annotation.OptIn;
 import androidx.annotation.PluralsRes;
 import androidx.annotation.Px;
 import androidx.annotation.RestrictTo;
@@ -129,6 +130,7 @@
  * developer guidance</a> and <a href="https://material.io/components/badges/overview">design
  * guidelines</a>.
  */
+@OptIn(markerClass = com.google.android.material.badge.ExperimentalBadgeUtils.class)
 public class BadgeDrawable extends Drawable implements TextDrawableDelegate {
 
   private static final String TAG = "Badge";