Roll Flutter Engine from 0774ddcda9b0 to 06696e768c1b (4 revisions) (#134462)

https://github.com/flutter/engine/compare/0774ddcda9b0...06696e768c1b

2023-09-11 jacksongardner@google.com Revert "Remove some of our hacks around JSPromise now that we have better APIs." (flutter/engine#45660)
2023-09-11 skia-flutter-autoroll@skia.org Roll Skia from 3ed290acb65f to e6225224fb4e (2 revisions) (flutter/engine#45658)
2023-09-11 kjlubick@users.noreply.github.com Update skwasm build to use safer flush call (flutter/engine#45652)
2023-09-11 jacksongardner@google.com Remove some of our hacks around JSPromise now that we have better APIs. (flutter/engine#45591)

If this roll has caused a breakage, revert this CL and stop the roller
using the controls here:
https://autoroll.skia.org/r/flutter-engine-flutter-autoroll
Please CC rmistry@google.com,zra@google.com on the revert to ensure that a human
is aware of the problem.

To file a bug in Flutter: https://github.com/flutter/flutter/issues/new/choose

To report a problem with the AutoRoller itself, please file a bug:
https://bugs.chromium.org/p/skia/issues/entry?template=Autoroller+Bug

Documentation for the AutoRoller is here:
https://skia.googlesource.com/buildbot/+doc/main/autoroll/README.md

bin/internal/engine.version

-0774ddcda9b0b7878e586a6135a026095d4feb33
+06696e768c1b1abd2393099d4ccacfdff2ad4739