Currently all the tests under flutter_tools are run in a the same shard called tool_tests that includes all subshards from flutter_tools/test directory. This makes it hard to separate into web-related and non-web-related tests that is needed to run flutter hhh web and flutter hhh bots:

Splitting the web related tests into a separate directory would solve this problem, and make it much simpler to classify the problems that pop up on hhh bots into "vm" or "web" category.

Related issue: web tests breaking on non-web hhh bot: #69711