docs: update module paths to include /public

Author: ItsNature

docs/developers/lightweight/json/getting-started.mdx

@@ -19,4 +19,4 @@ While constructing messages, note that the `@type` field isn't required if the m
 🔗 [Common Apollo Objects](/apollo/developers/lightweight/json/object-util)<br/>
 🔗 [Adventure Util](/apollo/developers/lightweight/json/adventure-util)<br/>
 
-For examples of module integration, refer to the specific Module pages. Each page contains code samples under the `Manual JSON Object Construction` tab. For instance, you can find sample code for the `BorderModule` on its dedicated page [BorderModule](/apollo/developers/modules/border#sample-code) in the `Sample Code` section.
+For examples of module integration, refer to the specific Module pages. Each page contains code samples under the `Manual JSON Object Construction` tab. For instance, you can find sample code for the `BorderModule` on its dedicated page [BorderModule](/apollo/developers/modules/public/border#sample-code) in the `Sample Code` section.

docs/developers/lightweight/json/packet-util.mdx

@@ -23,7 +23,7 @@ Next, specify the properties for these modules. These properties are included in
 
 <Callout type="warning" emoji="⚠️">
   The example below does not encompass all available options and may not be up-to-date.
-  For the latest options, refer to the module documentation ([example](/apollo/developers/modules/serverrule#available-options)).
+  For the latest options, refer to the module documentation ([example](/apollo/developers/modules/public/serverrule#available-options)).
 </Callout>
 
 ```java

docs/developers/lightweight/protobuf/getting-started.mdx

@@ -70,5 +70,5 @@ Available fields for each message, including their types, are available on the B
 🔗 [Apollo Serverbound packets](/apollo/developers/lightweight/protobuf/serverbound-packets)<br/>
 🔗 [Apollo Roundtrip packets](/apollo/developers/lightweight/protobuf/roundtrip-packets)<br/>
 
-For examples of module integration, refer to the specific Module pages. Each page contains code samples under the `apollo-protos library` tab. For instance, you can find sample code for the `BorderModule` on its dedicated page [BorderModule](/apollo/developers/modules/border#sample-code) in the `Sample Code` section.
+For examples of module integration, refer to the specific Module pages. Each page contains code samples under the `apollo-protos library` tab. For instance, you can find sample code for the `BorderModule` on its dedicated page [BorderModule](/apollo/developers/modules/public/border#sample-code) in the `Sample Code` section.
 

docs/developers/lightweight/protobuf/packet-util.mdx

@@ -23,7 +23,7 @@ Next, specify the properties for these modules. These properties are included in
 
 <Callout type="warning" emoji="⚠️">
   The example below does not encompass all available options and may not be up-to-date.
-  For the latest options, refer to the module documentation ([example](/apollo/developers/modules/serverrule#available-options)).
+  For the latest options, refer to the module documentation ([example](/apollo/developers/modules/public/serverrule#available-options)).
 </Callout>
 
 ```java