Add factory reset after 5 reboots example to cookbook (#3433)

* Add factory reset after 5 reboots example to cookbook

taken from https://github.com/esphome/esphome/pull/5887#issue-2022819069

* fix lint

* Update text

* Update lambda_magic.rst

* Update cookbook/lambda_magic.rst

Co-authored-by: Jesse Hills <3060199+jesserockz@users.noreply.github.com>

* Update cookbook/lambda_magic.rst

Co-authored-by: Jesse Hills <3060199+jesserockz@users.noreply.github.com>

* Update cookbook/lambda_magic.rst

Co-authored-by: Jesse Hills <3060199+jesserockz@users.noreply.github.com>

---------

Co-authored-by: Jesse Hills <3060199+jesserockz@users.noreply.github.com>

cookbook/lambda_magic.rst

@@ -407,6 +407,74 @@ will return ``NaN``, which corresponds to ``unknown`` sensor state.
         name: "Number from text"
 
 
+Factory reset after 5 quick reboots
+-----------------------------------
+
+One may want to restore factory settings (like Wi-Fi credentials set at runtime, or clear restore states) without having to
+disassemble or dismount the devices from their deployed location, whilst there's no network access either. The example below
+shows how to achieve that using lambdas in a script by triggering the factory reset switch after the system rebooted 5 times
+with 10-second timeframes.
+
+.. code-block:: yaml
+
+    # Example config.yaml
+    esphome:
+      name: "esphome_ld2410"
+      on_boot:
+        priority: 600.0
+        then:
+          - script.execute: fast_boot_factory_reset_script
+    esp32:
+      board: esp32-c3-devkitm-1
+
+    substitutions:
+      factory_reset_boot_count_trigger: 5 
+
+    globals:
+      - id: fast_boot
+        type: int
+        restore_value: yes
+        initial_value: '0'
+    
+    script:
+      - id: fast_boot_factory_reset_script
+        then:
+          - if:
+              condition:
+                lambda: return ( id(fast_boot) >= ${factory_reset_boot_count_trigger});
+              then:
+                - lambda: |-
+                    ESP_LOGD("Fast Boot Factory Reset", "Performing factotry reset");
+                    id(fast_boot) = 0;
+                    fast_boot->loop();
+                    global_preferences->sync();
+                - button.press: factory_reset_button
+          - lambda: |-
+              if(id(fast_boot) > 0)
+                ESP_LOGD("Fast Boot Factory Reset", "Quick reboot %d/%d, do it %d more times to factory reset", id(fast_boot), ${factory_reset_boot_count_trigger}, ${factory_reset_boot_count_trigger} - id(fast_boot));
+              id(fast_boot) += 1;
+              fast_boot->loop();
+              global_preferences->sync();
+          - delay: 10s
+          - lambda: |-
+              id(fast_boot) = 0;
+              fast_boot->loop();
+              global_preferences->sync();
+    
+    wifi:
+      id: wifi_component
+      ap:
+        ap_timeout: 0s
+      reboot_timeout: 0s
+    
+    captive_portal:
+    
+    button:
+      - platform: factory_reset
+        id: factory_reset_button
+        name: "ESPHome: Factory reset"
+
+
 See Also
 --------