Use the autoSave template option to enable auto-save in browser.
You can specify to auto-save every N changes (default 0 = disabled).
Auto-save works only for GN4 objects being edited (or when the GN4 object has already an id) - therefore, it won't work when editing a new story that you created but never saved.
<attribute name="richText">
<ui mode="Normal">
<template
kind="HtmlEditor"
xmlns="http://www.teradp.com/schemas/GN4/1/XmlSchemaExt.xsd"
autoSave="50">
<objectUI>
<web width="700" height="300" />
</objectUI>
</template>
</ui>
</attribute>