[pigeon] Ignore deprecated name (flutter#3953)

Ignores a field deprecated in the latest `analyzer` update, causing out-of-band analyzer failures.

This is ignored for now rather than replaced to avoid dropping currently-supported Flutter versions in Pigeon right now.

Fixes flutter/flutter#126393

Author: stuartmorgan-g

packages/pigeon/lib/pigeon_lib.dart

@@ -1004,6 +1004,9 @@ class _RootBuilder extends dart_ast_visitor.RecursiveAstVisitor<Object?> {
     final dart_ast.NamedType? namedType =
         getFirstChildOfType<dart_ast.NamedType>(parameter);
     if (namedType != null) {
+      // TODO(stuartmorgan): Replace `name` when adopting the next version of
+      // analyzer.
+      // ignore: deprecated_member_use
       final String argTypeBaseName = namedType.name.name;
       final bool isNullable = namedType.question != null;
       final List<TypeDeclaration> argTypeArguments =
@@ -1086,6 +1089,9 @@ class _RootBuilder extends dart_ast_visitor.RecursiveAstVisitor<Object?> {
         Method(
           name: node.name.lexeme,
           returnType: TypeDeclaration(
+              // TODO(stuartmorgan): Replace `name` when adopting the next
+              // version of analyzer.
+              // ignore: deprecated_member_use
               baseName: returnType.name.name,
               typeArguments:
                   typeAnnotationsToTypeArguments(returnType.typeArguments),
@@ -1135,6 +1141,9 @@ class _RootBuilder extends dart_ast_visitor.RecursiveAstVisitor<Object?> {
       for (final Object x in typeArguments.childEntities) {
         if (x is dart_ast.NamedType) {
           result.add(TypeDeclaration(
+              // TODO(stuartmorgan): Replace `name` when adopting the next
+              // version of analyzer.
+              // ignore: deprecated_member_use
               baseName: x.name.name,
               isNullable: x.question != null,
               typeArguments: typeAnnotationsToTypeArguments(x.typeArguments)));
@@ -1165,6 +1174,9 @@ class _RootBuilder extends dart_ast_visitor.RecursiveAstVisitor<Object?> {
           final dart_ast.TypeArgumentList? typeArguments = type.typeArguments;
           _currentClass!.fields.add(NamedType(
             type: TypeDeclaration(
+              // TODO(stuartmorgan): Replace `name` when adopting the next
+              // version of analyzer.
+              // ignore: deprecated_member_use
               baseName: type.name.name,
               isNullable: type.question != null,
               typeArguments: typeAnnotationsToTypeArguments(typeArguments),