Bump aioesphomeapi to 19.1.1 (#104569)

- Fixes races in bluetooth connections
- The client now has 100% coverage
- The library is approaching ~100% coverage
- Minor performance improvement

changelog: https://github.com/esphome/aioesphomeapi/compare/v19.1.0...v19.1.1

coverage: https://app.codecov.io/gh/esphome/aioesphomeapi/tree/main

homeassistant/components/esphome/manifest.json

@@ -16,7 +16,7 @@
   "loggers": ["aioesphomeapi", "noiseprotocol"],
   "requirements": [
     "async-interrupt==1.1.1",
-    "aioesphomeapi==19.1.0",
+    "aioesphomeapi==19.1.1",
     "bluetooth-data-tools==1.15.0",
     "esphome-dashboard-api==1.2.3"
   ],