Run flutter_tools as part of devtools_cli integration tests to catch flutter_tool integration issues earlier

[jacob314]

flutter_tools can be broken by changes to devtools_server but we currently do not run any flutter_tools tests as part of releasing devtools. https://github.com/flutter/flutter/pull/86124 pins the version of devtools used by flutter_tools but that still leaves us prone to release a version of DevTools that breaks flutter_tools only discovering the failure after release.

Ideally we would run all the flutter_tools tests with the local version of DevTools.

Fyi @Hixie