Don't render the "$" for module

Change of how to correct the Issue
- Add a new method "normalizedFullName"
- Call the method "ClassLikeSupport"

Add the ownerNameChain function
- To erase the $ in all the hierarchy

scaladoc/src/dotty/tools/scaladoc/tasty/ClassLikeSupport.scala

@@ -525,7 +525,7 @@ trait ClassLikeSupport:
     experimental: Option[Annotation] = None
   ) = Member(
     name = symbol.normalizedName,
-    fullName = symbol.fullName,
+    fullName = symbol.normalizedFullName,
     dri = symbol.dri,
     kind = kind,
     visibility = symbol.getVisibility(),

scaladoc/src/dotty/tools/scaladoc/tasty/NameNormalizer.scala

@@ -17,6 +17,18 @@ object NameNormalizer {
       val escaped = escapedName(constructorNormalizedName)
       escaped
     }
+
+    def ownerNameChain: List[String] = {
+      import reflect.*
+      if s.isNoSymbol then List.empty
+      else if s == defn.EmptyPackageClass then List.empty
+      else if s == defn.RootPackage then List.empty
+      else if s == defn.RootClass then List.empty
+      else s.owner.ownerNameChain :+ s.normalizedName
+    }  
+
+    def normalizedFullName: String =
+      s.ownerNameChain.mkString(".")
 
   private val ignoredKeywords: Set[String] = Set("this")