Magento apply one template to multiple layout handles

local.xml

<?xml version="1.0"?>
<layout>
    <my_updated_template>
        <reference name="root">
            <tpl>page/2columns-left.phtml</tpl>
        </reference>
    <my_updated_template>

    <catalog_category_layered>
        <update handle="my_updated_template" />
    </catalog_category_layered>

    <catalog_category_layered_nochildren>
        <update handle="my_updated_template" />
    </catalog_category_layered_nochildren>

    <catalog_category_default>
        <update handle="my_updated_template" />
    </catalog_category_default>

    <catalogsearch_advanced_result>
        <update handle="my_updated_template" />
    </catalogsearch_advanced_result>
<layout>