Large goal:
Update flutter analyze to use the analysis server in the same way and using the same code as flutter analyze --watch. Ensure that all the current flutter analyze options are still supported.

Related issues to be addressed as part of this cleanup:

• cleanup flutter analyze command line arguments - flutter analyze behaviour with a command line argument is very confusing #7274
• flutter analyze --watch --flutter-repo check package conflicts - flutter analyze --watch --flutter-repo check package conflicts #10641
• flutter analyze --watch --flutter-repo reports public members missing dartdoc - Flutter analyze watch improvements #11143
• flutter analyze doesn't work well with nested (and different) .packages files - flutter analyze doesn't work well with nested (and different) .packages files #10015
• provide a --machine flag for flutter analyze (Provide a --machine flag for flutter analyze #10704)
• unify output of flutter analyze and flutter analyze --watch unify the output from flutter analyze and flutter analyze --watch #2469

Also see other "flutter analyze" issues that might be related