Consolidate test files where all tests are identical (#6690)

tests/components/api/common.yaml

@@ -0,0 +1,63 @@
+esphome:
+  on_boot:
+    then:
+      - homeassistant.event:
+          event: esphome.button_pressed
+          data:
+            message: Button was pressed
+      - homeassistant.service:
+          service: notify.html5
+          data:
+            message: Button was pressed
+      - homeassistant.tag_scanned: pulse
+
+wifi:
+  ssid: MySSID
+  password: password1
+
+api:
+  port: 8000
+  password: pwd
+  reboot_timeout: 0min
+  encryption:
+    key: bOFFzzvfpg5DB94DuBGLXD/hMnhpDKgP9UQyBulwWVU=
+  services:
+    - service: hello_world
+      variables:
+        name: string
+      then:
+        - logger.log:
+            format: Hello World %s!
+            args:
+              - name.c_str()
+    - service: empty_service
+      then:
+        - logger.log: Service Called
+    - service: all_types
+      variables:
+        bool_: bool
+        int_: int
+        float_: float
+        string_: string
+      then:
+        - logger.log: Something happened
+    - service: array_types
+      variables:
+        bool_arr: bool[]
+        int_arr: int[]
+        float_arr: float[]
+        string_arr: string[]
+      then:
+        - logger.log:
+            # yamllint disable rule:line-length
+            format: "Bool: %s (%u), Int: %d (%u), Float: %f (%u), String: %s (%u)"
+            # yamllint enable rule:line-length
+            args:
+              - YESNO(bool_arr[0])
+              - bool_arr.size()
+              - int_arr[0]
+              - int_arr.size()
+              - float_arr[0]
+              - float_arr.size()
+              - string_arr[0].c_str()
+              - string_arr.size()