Hi, Add the sale_timesheet only to dependencies in the manifest and use the below xml:

  <record id="timesheet_view_search_inherit" model="ir.ui.view">
        <field name="name">account.analytic.line.search_inherit</field>
        <field name="model">account.analytic.line</field>
        <field name="inherit_id" ref="sale_timesheet.timesheet_view_search"/>
        <field name="arch" type="xml">
            <xpath expr="//filter[@name='billable_time']" position="replace">
            </xpath>
            <xpath expr="//filter[@name='billable_fixed']" position="replace">
            </xpath>
            <xpath expr="//filter[@name='non_billable']" position="replace">
            </xpath>
        </field>
</record>