Perl5 regex to match and get values of two tags regardless of their position

I have an XML like below where I want to get the values of the tags customerid and participationtype regardless of their position inside ASObject.

I have tried to write regex like below which is not working when the order of the tags is not matched.

<customerid tagClass="double">(.*)</customerid>([^^]*?)<participationtype tagClass="String">(clmt|insrd)</participationtype>

XML:

<ASObject mappedClass="com.taliantsoftware.insurance.participation.ParticipantSummaryDTO">
  <customertype tagClass="String">prsn</customertype>
  <linkednoteindicator tagClass="boolean">false</linkednoteindicator>
  <new tagClass="boolean">true</new>
  <customerid tagClass="double">3209053.0</customerid>
  <participationtype tagClass="String">clmt</participationtype>
  <updated tagClass="boolean">true</updated>
  <voided tagClass="boolean">false</voided>
  <blockexist tagClass="boolean">false</blockexist>
  <participationid tagClass="double">2664273.0</participationid>
  <customername tagClass="String">MELISSA M. CORNWELL</customername>
  <customerphonenumber tagClass="String">3303660069</customerphonenumber>
  <effectivedate tagClass="Date">1997-03-02 19:00:00.0 EST</effectivedate>
</ASObject>