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Change Products per Page on Grid Default Value using custom layout xml – Magento 2.4

For some specific categories we would like to change the default value for Products per Page on Grid Default Value. By default it’s set to 24.

In our custom theme we create a custom page_layout with the following code. But sadly it does not work, it still use the default value 24. What are we missing here?

<layout xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="urn:magento:framework:View/Layout/etc/page_layout.xsd">
    <update handle="2columns-left"/>
    <referenceContainer name="content">
        <referenceBlock name="product_list_toolbar">
            <action method="setDefaultGridPerPage">
                <argument name="limit" xsi:type="string">23</argument>
            </action>
        </referenceBlock>
    </referenceContainer>
</layout>

Edit:

When we create a Custom Layout Update for the specific category, it does work well with the following code. But we prefer to add it to the category layout itself, instead of creating a custom. layout update for each category. How can we achieve that?

Custom Layout Update code:

<page layout="1column" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="urn:magento:framework:View/Layout/etc/page_configuration.xsd">
    <body>
        <referenceContainer name="content">
            <referenceBlock name="product_list_toolbar">
                <action method="setDefaultGridPerPage">
                    <argument name="limit" xsi:type="string">23</argument>
                </action>
            </referenceBlock>
        </referenceContainer>
    </body>
</page>