Merge commit for cherry-pick release 2.37.2 (#8131)

* Fix overlapping UI on disconnect (#8057)

* Fix issue where socket profile data was being displayed as web socket connections (#8061)

* Fix issue where socket profile data was being displayed as web socket connections

Fixes https://github.com/flutter/devtools/issues/3033

* Prepare cherry-pick release - DevTools 2.37.2

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Co-authored-by: Ben Konyi <bkonyi@google.com>