[beta] Update DevTools rev to e77d6ce142b7bc737af3652f5727e449e84b7b03

Cherry-pick: https://dart-review.googlesource.com/c/sdk/+/374298
Cherry-pick-request: https://github.com/dart-lang/sdk/issues/56128
Change-Id: I31f092a253b04d357516c7ce0028119dca758bf7
Reviewed-on: https://dart-review.googlesource.com/c/sdk/+/374460
Reviewed-by: Kenzie Davisson <kenzieschmoll@google.com>
Commit-Queue: Elliott Brooks <elliottbrooks@google.com>
diff --git a/DEPS b/DEPS
index 8ca5ac4..204c929 100644
--- a/DEPS
+++ b/DEPS
@@ -102,7 +102,7 @@
   "boringssl_rev": "d24a38200fef19150eef00cad35b138936c08767",
   "browser-compat-data_tag": "ac8cae697014da1ff7124fba33b0b4245cc6cd1b", # v1.0.22
   "cpu_features_rev": "936b9ab5515dead115606559502e3864958f7f6e",
-  "devtools_rev": "70375f6c6d81faa8f3069aa6dcf2a98c69445455",
+  "devtools_rev": "e77d6ce142b7bc737af3652f5727e449e84b7b03",
   "icu_rev": "81d656878ec611cb0b42d52c82e9dae93920d9ba",
   "jinja2_rev": "2222b31554f03e62600cd7e383376a7c187967a1",
   "libcxx_rev": "44079a4cc04cdeffb9cfe8067bfb3c276fb2bab0",