This adds avoid_dynamic_calls to the list of lints, and fixes all instances where it was violated.

Importantly, this lint is NOT turned on for flutter/packages/test, because those changes are happening in another PR: #84478

* Migrate flutter conductor out of dev/tools and into its own directory

* flesh out documentation

* fix analysis options

* fix integration test

This is bassically reapplying #71721, but only enables it on web tests.

There are known issues that several tests under the `integration.shard`
depend on a specific platform, and as a result they require some
additional flexiblity (bots need to build more than one engine, and the
test flags should allow for secondary engines to be picked by such
tests).

By enabling this on the web-test shard, we will reduce the false
positives in the dart-flutter-HHH-web bot.

Fixing the more general problem is tracked by #72368.

This reverts commit a66e5a7f.

* consolidate all web integration tests under the same shard

Manual plugin roll to account for a rename of the script used to run
analysis.

This reverts commit 0c9781e3.

This reverts commit 93fb2586.

This reverts commit b7f5aef1.

* add web-renderer option to flutter test. run web tests with this option

* remove debug lines