Rename `AppRunLogger`, stop writing status messages that break JSON (#172591)

Closes https://github.com/flutter/flutter/issues/118907.

It looks like some of the work around splitting had already happened
(`DaemonLogger`), so this ... seems right?
https://dart.googlesource.com/external/github.com/flutter/flutter/+/3e86cb877324e7a70778d29fd51eabb6a9812988

DEPS

diff --git a/DEPS b/DEPS
index 2614b1a..6907a33 100644
--- a/DEPS
+++ b/DEPS
@@ -231,7 +231,7 @@
 deps = {
   'flutter/engine/src/flutter/third_party/dart': Var('dart_git') + '/sdk' + '@' + 'c42bdd1be254108ef52e50064b717409f53b8f32',
 
-  'flutter': Var('flutter_git') + '/mirrors/flutter' + '@' + '465b21cee1c85b02f709148ee265b2a0fe525657',
+  'flutter': Var('flutter_git') + '/mirrors/flutter' + '@' + '3e86cb877324e7a70778d29fd51eabb6a9812988',
 
   'flutter/engine/src/flutter/third_party/depot_tools':
   Var('chromium_git') + '/chromium/tools/depot_tools.git' + '@' + '580b4ff3f5cd0dcaa2eacda28cefe0f45320e8f7',

commits.json

diff --git a/commits.json b/commits.json
index 460bfb6..d1f89ed 100644
--- a/commits.json
+++ b/commits.json
@@ -1,4 +1,4 @@
 {
-  "flutter":"465b21cee1c85b02f709148ee265b2a0fe525657",
+  "flutter":"3e86cb877324e7a70778d29fd51eabb6a9812988",
   "flutter/engine/src/flutter/third_party/dart":"c42bdd1be254108ef52e50064b717409f53b8f32"
 }
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