Update `package:vm_service` constraints to >=12.0.0 <16.0.0 (#1205)

diff --git a/pkgs/coverage/CHANGELOG.md b/pkgs/coverage/CHANGELOG.md
index 1c8bcc9..685c1c0 100644
--- a/pkgs/coverage/CHANGELOG.md
+++ b/pkgs/coverage/CHANGELOG.md
@@ -1,3 +1,7 @@
+## 1.11.1
+
+- Update `package:vm_service` constraints to '>=12.0.0 <16.0.0'.
+
 ## 1.11.0
 
 - Fix a [bug](https://github.com/dart-lang/tools/issues/685) where the tool
diff --git a/pkgs/coverage/pubspec.yaml b/pkgs/coverage/pubspec.yaml
index 838ac41..2721626 100644
--- a/pkgs/coverage/pubspec.yaml
+++ b/pkgs/coverage/pubspec.yaml
@@ -1,5 +1,5 @@
 name: coverage
-version: 1.11.0
+version: 1.11.1
 description: Coverage data manipulation and formatting
 repository: https://github.com/dart-lang/tools/tree/main/pkgs/coverage
 issue_tracker: https://github.com/dart-lang/tools/issues?q=is%3Aissue+is%3Aopen+label%3Apackage%3Acoverage
@@ -16,7 +16,7 @@
   path: ^1.8.0
   source_maps: ^0.10.10
   stack_trace: ^1.10.0
-  vm_service: '>=12.0.0 <15.0.0'
+  vm_service: '>=12.0.0 <16.0.0'
 
 dev_dependencies:
   benchmark_harness: ^2.2.0