Add check in AnchorIndentationFormattingRule to skip anchor for else-if on separate lines

Co-authored-by: CyrusNajmabadi <4564579+CyrusNajmabadi@users.noreply.github.com>

Author: Copilot

src/Workspaces/SharedUtilitiesAndExtensions/Compiler/CSharp/Formatting/Rules/AnchorIndentationFormattingRule.cs

@@ -3,6 +3,8 @@
 // See the LICENSE file in the project root for more information.
 
 using System.Collections.Generic;
+using System.Linq;
+using Microsoft.CodeAnalysis.CSharp.Extensions;
 using Microsoft.CodeAnalysis.CSharp.Syntax;
 using Microsoft.CodeAnalysis.Formatting.Rules;
 
@@ -49,6 +51,24 @@ public override void AddAnchorIndentationOperations(List<AnchorIndentationOperat
         switch (node)
         {
             case StatementSyntax statement:
+                // Don't add anchor indentation for if statements that are on a separate line from their else keyword.
+                // The if statement should be indented like any other embedded statement in that case.
+                if (statement is IfStatementSyntax ifStatement && ifStatement.Parent is ElseClauseSyntax elseClause)
+                {
+                    var elseKeyword = elseClause.ElseKeyword;
+                    var ifKeyword = ifStatement.IfKeyword;
+                    
+                    // Check if there's a newline between the else and if tokens
+                    var hasNewLine = elseKeyword.TrailingTrivia.Any(SyntaxKind.EndOfLineTrivia) ||
+                                     ifKeyword.LeadingTrivia.Any(SyntaxKind.EndOfLineTrivia);
+                    
+                    if (hasNewLine)
+                    {
+                        // Skip adding anchor operation - let the indent operation from IndentBlockFormattingRule apply
+                        return;
+                    }
+                }
+                
                 AddAnchorIndentationOperation(list, statement);
                 return;
             case UsingDirectiveSyntax usingNode: