[ci] Add automated memory impact analysis for pull requests (#11242)

Co-authored-by: Copilot <175728472+Copilot@users.noreply.github.com>
Co-authored-by: pre-commit-ci-lite[bot] <117423508+pre-commit-ci-lite[bot]@users.noreply.github.com>

.coveragerc

@@ -1,4 +1,5 @@
 [run]
 omit =
     esphome/components/*
+    esphome/analyze_memory/*
     tests/integration/*