Use shared httpx client in gogogate2 (#45575)

CODEOWNERS

homeassistant/components/gogogate2/common.py

homeassistant/components/gogogate2/config_flow.py

homeassistant/components/gogogate2/cover.py

homeassistant/components/gogogate2/manifest.json

homeassistant/components/gogogate2/sensor.py

requirements_all.txt

requirements_test_all.txt

tests/components/gogogate2/test_config_flow.py

tests/components/gogogate2/test_cover.py

tests/components/gogogate2/test_init.py

tests/components/gogogate2/test_sensor.py