Roll package:vm_service ^15.0.0 (#8628)

diff --git a/packages/devtools_app/pubspec.yaml b/packages/devtools_app/pubspec.yaml
index 99706d7..f8d087d 100644
--- a/packages/devtools_app/pubspec.yaml
+++ b/packages/devtools_app/pubspec.yaml
@@ -51,7 +51,7 @@
   stack_trace: ^1.12.0
   string_scanner: ^1.1.0
   unified_analytics: ^7.0.0
-  vm_service: ^14.2.5
+  vm_service: '>=13.0.0 <16.0.0'
   vm_service_protos: ^1.0.0
   vm_snapshot_analysis: ^0.7.6
   web: ^1.0.0
diff --git a/packages/devtools_app_shared/CHANGELOG.md b/packages/devtools_app_shared/CHANGELOG.md
index 83a9887..dbbd803 100644
--- a/packages/devtools_app_shared/CHANGELOG.md
+++ b/packages/devtools_app_shared/CHANGELOG.md
@@ -6,6 +6,7 @@
 * Add `iconAsset` and `iconSize` fields to the `ButtonGroupItemData` class.
 * Add `iconAsset` and `iconSize` fields to the `MaterialIconLabel` class.
 * Add "Supported Flutter versions" policy to the README.
+* Bump `vm_service` dependency to `>=13.0.0 <16.0.0`.
 
 ## 0.2.4
 * Add `updateQueryParameter` utility method.
diff --git a/packages/devtools_app_shared/pubspec.yaml b/packages/devtools_app_shared/pubspec.yaml
index 39e2fd4..8923aae 100644
--- a/packages/devtools_app_shared/pubspec.yaml
+++ b/packages/devtools_app_shared/pubspec.yaml
@@ -21,7 +21,7 @@
   path: ^1.8.0
   pointer_interceptor: ^0.10.1+1
   url_launcher: ^6.1.0
-  vm_service: ^14.2.1
+  vm_service: '>=13.0.0 <16.0.0'
   web: ^1.0.0
 
 dev_dependencies:
diff --git a/packages/devtools_extensions/CHANGELOG.md b/packages/devtools_extensions/CHANGELOG.md
index 2b28498..4ad9a9c 100644
--- a/packages/devtools_extensions/CHANGELOG.md
+++ b/packages/devtools_extensions/CHANGELOG.md
@@ -4,6 +4,7 @@
 to `3.27.1`.
 * Bump `devtools_app_shared` dependency to `0.3.0`.
 * Bump `devtools_shared` dependency to `11.1.0`.
+* Bump `vm_service` dependency to `>=13.0.0 <16.0.0`.
 * Clarify VS Code configuration in `README.md`.
 * Add "Supported Flutter versions" policy to the README.
 
diff --git a/packages/devtools_extensions/pubspec.yaml b/packages/devtools_extensions/pubspec.yaml
index d40b414..b601d8b 100644
--- a/packages/devtools_extensions/pubspec.yaml
+++ b/packages/devtools_extensions/pubspec.yaml
@@ -22,7 +22,7 @@
   io: ^1.0.4
   path: ^1.8.0
   logging: ^1.1.1
-  vm_service: ^14.2.1
+  vm_service: '>=13.0.0 <16.0.0'
   web: ^1.0.0
   yaml: ^3.1.2
 
diff --git a/packages/devtools_shared/CHANGELOG.md b/packages/devtools_shared/CHANGELOG.md
index 8979038..97d0d23 100644
--- a/packages/devtools_shared/CHANGELOG.md
+++ b/packages/devtools_shared/CHANGELOG.md
@@ -3,6 +3,7 @@
 
 # 11.1.0
 * Bump minimum SDK version to `3.6.0`.
+* Update `package:vm_service` to `>=13.0.0 <16.0.0`.
 
 # 11.0.0
 * **Breaking change:** replace `apiGetLastReleaseNotesVersion` with `ReleaseNotesApi.getLastReleaseNotesVersion`.
diff --git a/packages/devtools_test/pubspec.yaml b/packages/devtools_test/pubspec.yaml
index ea4da74..f3077c5 100644
--- a/packages/devtools_test/pubspec.yaml
+++ b/packages/devtools_test/pubspec.yaml
@@ -27,7 +27,7 @@
   mockito: ^5.4.1
   path: ^1.8.0
   provider: ^6.0.2
-  vm_service: ^14.2.1
+  vm_service: '>=13.0.0 <16.0.0'
   webkit_inspection_protocol: '>=0.5.0 <2.0.0'
 
 dev_dependencies: